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Finding the Third Proportional to 421,650,523,567 and 642,355,406,401.50

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Solution

The third proportional to 421,650,523,567 and 642,355,406,401.50 is: 978,584,028,883.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,650,523,567 : 642,355,406,401.50 = 642,355,406,401.50 : x
  2. Step 2: Convert to fraction form
    421,650,523,567/642,355,406,401.50 = 642,355,406,401.50/x
  3. Step 3: Cross multiply
    421,650,523,567x = 642,355,406,401.50 × 642,355,406,401.50
  4. Step 4: Simplify right side
    421,650,523,567x = 412,620,468,133,236,217,741,312
  5. Step 5: Solve for x
    x = 412,620,468,133,236,217,741,312/421,650,523,567
  6. Step 6: Final answer
    x = 978,584,028,883.98

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.