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Finding the Third Proportional to 639,712 and 956,048

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Solution

The third proportional to 639,712 and 956,048 is: 1,428,811.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,712 : 956,048 = 956,048 : x
  2. Step 2: Convert to fraction form
    639,712/956,048 = 956,048/x
  3. Step 3: Cross multiply
    639,712x = 956,048 × 956,048
  4. Step 4: Simplify right side
    639,712x = 914,027,778,304
  5. Step 5: Solve for x
    x = 914,027,778,304/639,712
  6. Step 6: Final answer
    x = 1,428,811.37

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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.