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Finding the Third Proportional to 15,730 and 23,381

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Solution

The third proportional to 15,730 and 23,381 is: 34,753.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,730 : 23,381 = 23,381 : x
  2. Step 2: Convert to fraction form
    15,730/23,381 = 23,381/x
  3. Step 3: Cross multiply
    15,730x = 23,381 × 23,381
  4. Step 4: Simplify right side
    15,730x = 546,671,161
  5. Step 5: Solve for x
    x = 546,671,161/15,730
  6. Step 6: Final answer
    x = 34,753.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.