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Finding the Third Proportional to 31,656 and 70,344

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Solution

The third proportional to 31,656 and 70,344 is: 156,314.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,656 : 70,344 = 70,344 : x
  2. Step 2: Convert to fraction form
    31,656/70,344 = 70,344/x
  3. Step 3: Cross multiply
    31,656x = 70,344 × 70,344
  4. Step 4: Simplify right side
    31,656x = 4,948,278,336
  5. Step 5: Solve for x
    x = 4,948,278,336/31,656
  6. Step 6: Final answer
    x = 156,314.07

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.