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Finding the Third Proportional to 15,200 and 31,609

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Solution

The third proportional to 15,200 and 31,609 is: 65,732.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,200 : 31,609 = 31,609 : x
  2. Step 2: Convert to fraction form
    15,200/31,609 = 31,609/x
  3. Step 3: Cross multiply
    15,200x = 31,609 × 31,609
  4. Step 4: Simplify right side
    15,200x = 999,128,881
  5. Step 5: Solve for x
    x = 999,128,881/15,200
  6. Step 6: Final answer
    x = 65,732.16

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.