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Finding the Third Proportional to 15,639 and 31,915

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Solution

The third proportional to 15,639 and 31,915 is: 65,129.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,639 : 31,915 = 31,915 : x
  2. Step 2: Convert to fraction form
    15,639/31,915 = 31,915/x
  3. Step 3: Cross multiply
    15,639x = 31,915 × 31,915
  4. Step 4: Simplify right side
    15,639x = 1,018,567,225
  5. Step 5: Solve for x
    x = 1,018,567,225/15,639
  6. Step 6: Final answer
    x = 65,129.95

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.