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Finding the Third Proportional to 347,451 and 754,680

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Solution

The third proportional to 347,451 and 754,680 is: 1,639,200.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,451 : 754,680 = 754,680 : x
  2. Step 2: Convert to fraction form
    347,451/754,680 = 754,680/x
  3. Step 3: Cross multiply
    347,451x = 754,680 × 754,680
  4. Step 4: Simplify right side
    347,451x = 569,541,902,400
  5. Step 5: Solve for x
    x = 569,541,902,400/347,451
  6. Step 6: Final answer
    x = 1,639,200.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.