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Finding the Third Proportional to 379,478 and 571,710

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Solution

The third proportional to 379,478 and 571,710 is: 861,320.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,478 : 571,710 = 571,710 : x
  2. Step 2: Convert to fraction form
    379,478/571,710 = 571,710/x
  3. Step 3: Cross multiply
    379,478x = 571,710 × 571,710
  4. Step 4: Simplify right side
    379,478x = 326,852,324,100
  5. Step 5: Solve for x
    x = 326,852,324,100/379,478
  6. Step 6: Final answer
    x = 861,320.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.