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Finding the Third Proportional to 31,639 and 47,386

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Solution

The third proportional to 31,639 and 47,386 is: 70,970.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,639 : 47,386 = 47,386 : x
  2. Step 2: Convert to fraction form
    31,639/47,386 = 47,386/x
  3. Step 3: Cross multiply
    31,639x = 47,386 × 47,386
  4. Step 4: Simplify right side
    31,639x = 2,245,432,996
  5. Step 5: Solve for x
    x = 2,245,432,996/31,639
  6. Step 6: Final answer
    x = 70,970.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.