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Finding the Third Proportional to 31,620 and 70,239

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Solution

The third proportional to 31,620 and 70,239 is: 156,025.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,620 : 70,239 = 70,239 : x
  2. Step 2: Convert to fraction form
    31,620/70,239 = 70,239/x
  3. Step 3: Cross multiply
    31,620x = 70,239 × 70,239
  4. Step 4: Simplify right side
    31,620x = 4,933,517,121
  5. Step 5: Solve for x
    x = 4,933,517,121/31,620
  6. Step 6: Final answer
    x = 156,025.21

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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.