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Finding the Third Proportional to 15,541 and 21,970

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Solution

The third proportional to 15,541 and 21,970 is: 31,058.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,541 : 21,970 = 21,970 : x
  2. Step 2: Convert to fraction form
    15,541/21,970 = 21,970/x
  3. Step 3: Cross multiply
    15,541x = 21,970 × 21,970
  4. Step 4: Simplify right side
    15,541x = 482,680,900
  5. Step 5: Solve for x
    x = 482,680,900/15,541
  6. Step 6: Final answer
    x = 31,058.55

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.