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Finding the Third Proportional to 188,460 and 291,439

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Solution

The third proportional to 188,460 and 291,439 is: 450,688.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,460 : 291,439 = 291,439 : x
  2. Step 2: Convert to fraction form
    188,460/291,439 = 291,439/x
  3. Step 3: Cross multiply
    188,460x = 291,439 × 291,439
  4. Step 4: Simplify right side
    188,460x = 84,936,690,721
  5. Step 5: Solve for x
    x = 84,936,690,721/188,460
  6. Step 6: Final answer
    x = 450,688.16

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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.