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Finding the Third Proportional to 447,633 and 872,424

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Solution

The third proportional to 447,633 and 872,424 is: 1,700,329.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,633 : 872,424 = 872,424 : x
  2. Step 2: Convert to fraction form
    447,633/872,424 = 872,424/x
  3. Step 3: Cross multiply
    447,633x = 872,424 × 872,424
  4. Step 4: Simplify right side
    447,633x = 761,123,635,776
  5. Step 5: Solve for x
    x = 761,123,635,776/447,633
  6. Step 6: Final answer
    x = 1,700,329.59

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.