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Finding the Third Proportional to 15,209 and 30,781

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Solution

The third proportional to 15,209 and 30,781 is: 62,296.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,209 : 30,781 = 30,781 : x
  2. Step 2: Convert to fraction form
    15,209/30,781 = 30,781/x
  3. Step 3: Cross multiply
    15,209x = 30,781 × 30,781
  4. Step 4: Simplify right side
    15,209x = 947,469,961
  5. Step 5: Solve for x
    x = 947,469,961/15,209
  6. Step 6: Final answer
    x = 62,296.66

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.