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Finding the Third Proportional to 15,865 and 22,312

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Solution

The third proportional to 15,865 and 22,312 is: 31,378.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,865 : 22,312 = 22,312 : x
  2. Step 2: Convert to fraction form
    15,865/22,312 = 22,312/x
  3. Step 3: Cross multiply
    15,865x = 22,312 × 22,312
  4. Step 4: Simplify right side
    15,865x = 497,825,344
  5. Step 5: Solve for x
    x = 497,825,344/15,865
  6. Step 6: Final answer
    x = 31,378.84

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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.