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Finding the Third Proportional to 9,231,138 and 20,087,770.50

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Solution

The third proportional to 9,231,138 and 20,087,770.50 is: 43,712,760.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,231,138 : 20,087,770.50 = 20,087,770.50 : x
  2. Step 2: Convert to fraction form
    9,231,138/20,087,770.50 = 20,087,770.50/x
  3. Step 3: Cross multiply
    9,231,138x = 20,087,770.50 × 20,087,770.50
  4. Step 4: Simplify right side
    9,231,138x = 403,518,523,660,670.25
  5. Step 5: Solve for x
    x = 403,518,523,660,670.25/9,231,138
  6. Step 6: Final answer
    x = 43,712,760.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.