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Finding the Third Proportional to 291,691.13 and 701,890.31

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Solution

The third proportional to 291,691.13 and 701,890.31 is: 1,688,944.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,691.13 : 701,890.31 = 701,890.31 : x
  2. Step 2: Convert to fraction form
    291,691.13/701,890.31 = 701,890.31/x
  3. Step 3: Cross multiply
    291,691.13x = 701,890.31 × 701,890.31
  4. Step 4: Simplify right side
    291,691.13x = 492,650,010,781.35
  5. Step 5: Solve for x
    x = 492,650,010,781.35/291,691.13
  6. Step 6: Final answer
    x = 1,688,944.12

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.