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Finding the Third Proportional to 473,442 and 639,859

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Solution

The third proportional to 473,442 and 639,859 is: 864,772.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,442 : 639,859 = 639,859 : x
  2. Step 2: Convert to fraction form
    473,442/639,859 = 639,859/x
  3. Step 3: Cross multiply
    473,442x = 639,859 × 639,859
  4. Step 4: Simplify right side
    473,442x = 409,419,539,881
  5. Step 5: Solve for x
    x = 409,419,539,881/473,442
  6. Step 6: Final answer
    x = 864,772.33

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.