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Finding the Third Proportional to 454,668 and 688,320

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Solution

The third proportional to 454,668 and 688,320 is: 1,042,044.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,668 : 688,320 = 688,320 : x
  2. Step 2: Convert to fraction form
    454,668/688,320 = 688,320/x
  3. Step 3: Cross multiply
    454,668x = 688,320 × 688,320
  4. Step 4: Simplify right side
    454,668x = 473,784,422,400
  5. Step 5: Solve for x
    x = 473,784,422,400/454,668
  6. Step 6: Final answer
    x = 1,042,044.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.