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Finding the Third Proportional to 266,766 and 577,820

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Solution

The third proportional to 266,766 and 577,820 is: 1,251,568.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,766 : 577,820 = 577,820 : x
  2. Step 2: Convert to fraction form
    266,766/577,820 = 577,820/x
  3. Step 3: Cross multiply
    266,766x = 577,820 × 577,820
  4. Step 4: Simplify right side
    266,766x = 333,875,952,400
  5. Step 5: Solve for x
    x = 333,875,952,400/266,766
  6. Step 6: Final answer
    x = 1,251,568.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.