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Finding the Third Proportional to 266,406 and 557,442

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Solution

The third proportional to 266,406 and 557,442 is: 1,166,421.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,406 : 557,442 = 557,442 : x
  2. Step 2: Convert to fraction form
    266,406/557,442 = 557,442/x
  3. Step 3: Cross multiply
    266,406x = 557,442 × 557,442
  4. Step 4: Simplify right side
    266,406x = 310,741,583,364
  5. Step 5: Solve for x
    x = 310,741,583,364/266,406
  6. Step 6: Final answer
    x = 1,166,421.11

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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.