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Finding the Third Proportional to 15,929 and 31,465

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Solution

The third proportional to 15,929 and 31,465 is: 62,153.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,929 : 31,465 = 31,465 : x
  2. Step 2: Convert to fraction form
    15,929/31,465 = 31,465/x
  3. Step 3: Cross multiply
    15,929x = 31,465 × 31,465
  4. Step 4: Simplify right side
    15,929x = 990,046,225
  5. Step 5: Solve for x
    x = 990,046,225/15,929
  6. Step 6: Final answer
    x = 62,153.70

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.