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Finding the Third Proportional to 100,392 and 161,442

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Solution

The third proportional to 100,392 and 161,442 is: 259,617.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,392 : 161,442 = 161,442 : x
  2. Step 2: Convert to fraction form
    100,392/161,442 = 161,442/x
  3. Step 3: Cross multiply
    100,392x = 161,442 × 161,442
  4. Step 4: Simplify right side
    100,392x = 26,063,519,364
  5. Step 5: Solve for x
    x = 26,063,519,364/100,392
  6. Step 6: Final answer
    x = 259,617.49

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.