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Finding the Third Proportional to 667,212,522 and 1,389,649,072.50

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Solution

The third proportional to 667,212,522 and 1,389,649,072.50 is: 2,894,316,999.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,212,522 : 1,389,649,072.50 = 1,389,649,072.50 : x
  2. Step 2: Convert to fraction form
    667,212,522/1,389,649,072.50 = 1,389,649,072.50/x
  3. Step 3: Cross multiply
    667,212,522x = 1,389,649,072.50 × 1,389,649,072.50
  4. Step 4: Simplify right side
    667,212,522x = 1,931,124,544,700,110,336
  5. Step 5: Solve for x
    x = 1,931,124,544,700,110,336/667,212,522
  6. Step 6: Final answer
    x = 2,894,316,999.49

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.