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Finding the Third Proportional to 417,690 and 672,543

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Solution

The third proportional to 417,690 and 672,543 is: 1,082,894.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,690 : 672,543 = 672,543 : x
  2. Step 2: Convert to fraction form
    417,690/672,543 = 672,543/x
  3. Step 3: Cross multiply
    417,690x = 672,543 × 672,543
  4. Step 4: Simplify right side
    417,690x = 452,314,086,849
  5. Step 5: Solve for x
    x = 452,314,086,849/417,690
  6. Step 6: Final answer
    x = 1,082,894.22

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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.