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Finding the Third Proportional to 289,304 and 447,060

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Solution

The third proportional to 289,304 and 447,060 is: 690,839.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,304 : 447,060 = 447,060 : x
  2. Step 2: Convert to fraction form
    289,304/447,060 = 447,060/x
  3. Step 3: Cross multiply
    289,304x = 447,060 × 447,060
  4. Step 4: Simplify right side
    289,304x = 199,862,643,600
  5. Step 5: Solve for x
    x = 199,862,643,600/289,304
  6. Step 6: Final answer
    x = 690,839.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.