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Finding the Third Proportional to 261,038 and 415,366

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Solution

The third proportional to 261,038 and 415,366 is: 660,934.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,038 : 415,366 = 415,366 : x
  2. Step 2: Convert to fraction form
    261,038/415,366 = 415,366/x
  3. Step 3: Cross multiply
    261,038x = 415,366 × 415,366
  4. Step 4: Simplify right side
    261,038x = 172,528,913,956
  5. Step 5: Solve for x
    x = 172,528,913,956/261,038
  6. Step 6: Final answer
    x = 660,934.09

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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.