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Finding the Third Proportional to 479,712 and 715,680

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Solution

The third proportional to 479,712 and 715,680 is: 1,067,719.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,712 : 715,680 = 715,680 : x
  2. Step 2: Convert to fraction form
    479,712/715,680 = 715,680/x
  3. Step 3: Cross multiply
    479,712x = 715,680 × 715,680
  4. Step 4: Simplify right side
    479,712x = 512,197,862,400
  5. Step 5: Solve for x
    x = 512,197,862,400/479,712
  6. Step 6: Final answer
    x = 1,067,719.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.