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Finding the Third Proportional to 302,624 and 439,729

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Solution

The third proportional to 302,624 and 439,729 is: 638,949.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,624 : 439,729 = 439,729 : x
  2. Step 2: Convert to fraction form
    302,624/439,729 = 439,729/x
  3. Step 3: Cross multiply
    302,624x = 439,729 × 439,729
  4. Step 4: Simplify right side
    302,624x = 193,361,593,441
  5. Step 5: Solve for x
    x = 193,361,593,441/302,624
  6. Step 6: Final answer
    x = 638,949.96

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.