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Finding the Third Proportional to 15,035 and 21,371

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Solution

The third proportional to 15,035 and 21,371 is: 30,377.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,035 : 21,371 = 21,371 : x
  2. Step 2: Convert to fraction form
    15,035/21,371 = 21,371/x
  3. Step 3: Cross multiply
    15,035x = 21,371 × 21,371
  4. Step 4: Simplify right side
    15,035x = 456,719,641
  5. Step 5: Solve for x
    x = 456,719,641/15,035
  6. Step 6: Final answer
    x = 30,377.10

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.