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Finding the Third Proportional to 252,278 and 379,481

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Solution

The third proportional to 252,278 and 379,481 is: 570,821.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,278 : 379,481 = 379,481 : x
  2. Step 2: Convert to fraction form
    252,278/379,481 = 379,481/x
  3. Step 3: Cross multiply
    252,278x = 379,481 × 379,481
  4. Step 4: Simplify right side
    252,278x = 144,005,829,361
  5. Step 5: Solve for x
    x = 144,005,829,361/252,278
  6. Step 6: Final answer
    x = 570,821.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.