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Finding the Third Proportional to 266,438 and 557,508

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Solution

The third proportional to 266,438 and 557,508 is: 1,166,557.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,438 : 557,508 = 557,508 : x
  2. Step 2: Convert to fraction form
    266,438/557,508 = 557,508/x
  3. Step 3: Cross multiply
    266,438x = 557,508 × 557,508
  4. Step 4: Simplify right side
    266,438x = 310,815,170,064
  5. Step 5: Solve for x
    x = 310,815,170,064/266,438
  6. Step 6: Final answer
    x = 1,166,557.21

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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.