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Finding the Third Proportional to 151,481 and 212,398

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Solution

The third proportional to 151,481 and 212,398 is: 297,812.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,481 : 212,398 = 212,398 : x
  2. Step 2: Convert to fraction form
    151,481/212,398 = 212,398/x
  3. Step 3: Cross multiply
    151,481x = 212,398 × 212,398
  4. Step 4: Simplify right side
    151,481x = 45,112,910,404
  5. Step 5: Solve for x
    x = 45,112,910,404/151,481
  6. Step 6: Final answer
    x = 297,812.34

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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.