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Finding the Third Proportional to 15,374 and 21,141

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Solution

The third proportional to 15,374 and 21,141 is: 29,071.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,374 : 21,141 = 21,141 : x
  2. Step 2: Convert to fraction form
    15,374/21,141 = 21,141/x
  3. Step 3: Cross multiply
    15,374x = 21,141 × 21,141
  4. Step 4: Simplify right side
    15,374x = 446,941,881
  5. Step 5: Solve for x
    x = 446,941,881/15,374
  6. Step 6: Final answer
    x = 29,071.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.