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Finding the Third Proportional to 321,624 and 472,806

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Solution

The third proportional to 321,624 and 472,806 is: 695,052.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,624 : 472,806 = 472,806 : x
  2. Step 2: Convert to fraction form
    321,624/472,806 = 472,806/x
  3. Step 3: Cross multiply
    321,624x = 472,806 × 472,806
  4. Step 4: Simplify right side
    321,624x = 223,545,513,636
  5. Step 5: Solve for x
    x = 223,545,513,636/321,624
  6. Step 6: Final answer
    x = 695,052.34

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.