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Finding the Third Proportional to 133,417.69 and 291,459.38

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Solution

The third proportional to 133,417.69 and 291,459.38 is: 636,711.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,417.69 : 291,459.38 = 291,459.38 : x
  2. Step 2: Convert to fraction form
    133,417.69/291,459.38 = 291,459.38/x
  3. Step 3: Cross multiply
    133,417.69x = 291,459.38 × 291,459.38
  4. Step 4: Simplify right side
    133,417.69x = 84,948,567,275.39
  5. Step 5: Solve for x
    x = 84,948,567,275.39/133,417.69
  6. Step 6: Final answer
    x = 636,711.44

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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.