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Finding the Third Proportional to 417,703 and 672,563

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Solution

The third proportional to 417,703 and 672,563 is: 1,082,924.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,703 : 672,563 = 672,563 : x
  2. Step 2: Convert to fraction form
    417,703/672,563 = 672,563/x
  3. Step 3: Cross multiply
    417,703x = 672,563 × 672,563
  4. Step 4: Simplify right side
    417,703x = 452,340,988,969
  5. Step 5: Solve for x
    x = 452,340,988,969/417,703
  6. Step 6: Final answer
    x = 1,082,924.92

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.