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Finding the Third Proportional to 15,719 and 21,361

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Solution

The third proportional to 15,719 and 21,361 is: 29,028.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,719 : 21,361 = 21,361 : x
  2. Step 2: Convert to fraction form
    15,719/21,361 = 21,361/x
  3. Step 3: Cross multiply
    15,719x = 21,361 × 21,361
  4. Step 4: Simplify right side
    15,719x = 456,292,321
  5. Step 5: Solve for x
    x = 456,292,321/15,719
  6. Step 6: Final answer
    x = 29,028.08

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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.