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Finding the Third Proportional to 291,134.25 and 462,945.38

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Solution

The third proportional to 291,134.25 and 462,945.38 is: 736,149.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,134.25 : 462,945.38 = 462,945.38 : x
  2. Step 2: Convert to fraction form
    291,134.25/462,945.38 = 462,945.38/x
  3. Step 3: Cross multiply
    291,134.25x = 462,945.38 × 462,945.38
  4. Step 4: Simplify right side
    291,134.25x = 214,318,420,233.89
  5. Step 5: Solve for x
    x = 214,318,420,233.89/291,134.25
  6. Step 6: Final answer
    x = 736,149.80

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.