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Finding the Third Proportional to 15,634 and 31,905

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Solution

The third proportional to 15,634 and 31,905 is: 65,109.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,634 : 31,905 = 31,905 : x
  2. Step 2: Convert to fraction form
    15,634/31,905 = 31,905/x
  3. Step 3: Cross multiply
    15,634x = 31,905 × 31,905
  4. Step 4: Simplify right side
    15,634x = 1,017,929,025
  5. Step 5: Solve for x
    x = 1,017,929,025/15,634
  6. Step 6: Final answer
    x = 65,109.95

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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.