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Finding the Third Proportional to 15,638 and 22,346

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Solution

The third proportional to 15,638 and 22,346 is: 31,931.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,638 : 22,346 = 22,346 : x
  2. Step 2: Convert to fraction form
    15,638/22,346 = 22,346/x
  3. Step 3: Cross multiply
    15,638x = 22,346 × 22,346
  4. Step 4: Simplify right side
    15,638x = 499,343,716
  5. Step 5: Solve for x
    x = 499,343,716/15,638
  6. Step 6: Final answer
    x = 31,931.43

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.