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Finding the Third Proportional to 15,982 and 22,409

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Solution

The third proportional to 15,982 and 22,409 is: 31,420.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,982 : 22,409 = 22,409 : x
  2. Step 2: Convert to fraction form
    15,982/22,409 = 22,409/x
  3. Step 3: Cross multiply
    15,982x = 22,409 × 22,409
  4. Step 4: Simplify right side
    15,982x = 502,163,281
  5. Step 5: Solve for x
    x = 502,163,281/15,982
  6. Step 6: Final answer
    x = 31,420.55

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.