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Finding the Third Proportional to 266,404 and 557,432

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Solution

The third proportional to 266,404 and 557,432 is: 1,166,388.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,404 : 557,432 = 557,432 : x
  2. Step 2: Convert to fraction form
    266,404/557,432 = 557,432/x
  3. Step 3: Cross multiply
    266,404x = 557,432 × 557,432
  4. Step 4: Simplify right side
    266,404x = 310,730,434,624
  5. Step 5: Solve for x
    x = 310,730,434,624/266,404
  6. Step 6: Final answer
    x = 1,166,388.02

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.