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Finding the Third Proportional to 15,712 and 21,352

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Solution

The third proportional to 15,712 and 21,352 is: 29,016.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,712 : 21,352 = 21,352 : x
  2. Step 2: Convert to fraction form
    15,712/21,352 = 21,352/x
  3. Step 3: Cross multiply
    15,712x = 21,352 × 21,352
  4. Step 4: Simplify right side
    15,712x = 455,907,904
  5. Step 5: Solve for x
    x = 455,907,904/15,712
  6. Step 6: Final answer
    x = 29,016.54

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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.