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Finding the Third Proportional to 100,399 and 161,453

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Solution

The third proportional to 100,399 and 161,453 is: 259,634.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,399 : 161,453 = 161,453 : x
  2. Step 2: Convert to fraction form
    100,399/161,453 = 161,453/x
  3. Step 3: Cross multiply
    100,399x = 161,453 × 161,453
  4. Step 4: Simplify right side
    100,399x = 26,067,071,209
  5. Step 5: Solve for x
    x = 26,067,071,209/100,399
  6. Step 6: Final answer
    x = 259,634.77

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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.