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Finding the Third Proportional to 133,313,691 and 207,764,776.50

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Solution

The third proportional to 133,313,691 and 207,764,776.50 is: 323,794,218.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,313,691 : 207,764,776.50 = 207,764,776.50 : x
  2. Step 2: Convert to fraction form
    133,313,691/207,764,776.50 = 207,764,776.50/x
  3. Step 3: Cross multiply
    133,313,691x = 207,764,776.50 × 207,764,776.50
  4. Step 4: Simplify right side
    133,313,691x = 43,166,202,354,094,952
  5. Step 5: Solve for x
    x = 43,166,202,354,094,952/133,313,691
  6. Step 6: Final answer
    x = 323,794,218.21

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.