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Finding the Third Proportional to 266,433 and 557,498

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Solution

The third proportional to 266,433 and 557,498 is: 1,166,537.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,433 : 557,498 = 557,498 : x
  2. Step 2: Convert to fraction form
    266,433/557,498 = 557,498/x
  3. Step 3: Cross multiply
    266,433x = 557,498 × 557,498
  4. Step 4: Simplify right side
    266,433x = 310,804,020,004
  5. Step 5: Solve for x
    x = 310,804,020,004/266,433
  6. Step 6: Final answer
    x = 1,166,537.25

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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.