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Finding the Third Proportional to 266,424 and 557,480

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Solution

The third proportional to 266,424 and 557,480 is: 1,166,501.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,424 : 557,480 = 557,480 : x
  2. Step 2: Convert to fraction form
    266,424/557,480 = 557,480/x
  3. Step 3: Cross multiply
    266,424x = 557,480 × 557,480
  4. Step 4: Simplify right side
    266,424x = 310,783,950,400
  5. Step 5: Solve for x
    x = 310,783,950,400/266,424
  6. Step 6: Final answer
    x = 1,166,501.33

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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.