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Finding the Third Proportional to 266,428 and 557,488

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Solution

The third proportional to 266,428 and 557,488 is: 1,166,517.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,428 : 557,488 = 557,488 : x
  2. Step 2: Convert to fraction form
    266,428/557,488 = 557,488/x
  3. Step 3: Cross multiply
    266,428x = 557,488 × 557,488
  4. Step 4: Simplify right side
    266,428x = 310,792,870,144
  5. Step 5: Solve for x
    x = 310,792,870,144/266,428
  6. Step 6: Final answer
    x = 1,166,517.30

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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.