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Finding the Third Proportional to 133,887,840 and 206,890,812

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Solution

The third proportional to 133,887,840 and 206,890,812 is: 319,698,996.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,887,840 : 206,890,812 = 206,890,812 : x
  2. Step 2: Convert to fraction form
    133,887,840/206,890,812 = 206,890,812/x
  3. Step 3: Cross multiply
    133,887,840x = 206,890,812 × 206,890,812
  4. Step 4: Simplify right side
    133,887,840x = 42,803,808,090,019,344
  5. Step 5: Solve for x
    x = 42,803,808,090,019,344/133,887,840
  6. Step 6: Final answer
    x = 319,698,996.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.