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Finding the Third Proportional to 11,712 and 15,897

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Solution

The third proportional to 11,712 and 15,897 is: 21,577.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,712 : 15,897 = 15,897 : x
  2. Step 2: Convert to fraction form
    11,712/15,897 = 15,897/x
  3. Step 3: Cross multiply
    11,712x = 15,897 × 15,897
  4. Step 4: Simplify right side
    11,712x = 252,714,609
  5. Step 5: Solve for x
    x = 252,714,609/11,712
  6. Step 6: Final answer
    x = 21,577.41

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.