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Finding the Third Proportional to 379,554 and 571,830

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Solution

The third proportional to 379,554 and 571,830 is: 861,509.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,554 : 571,830 = 571,830 : x
  2. Step 2: Convert to fraction form
    379,554/571,830 = 571,830/x
  3. Step 3: Cross multiply
    379,554x = 571,830 × 571,830
  4. Step 4: Simplify right side
    379,554x = 326,989,548,900
  5. Step 5: Solve for x
    x = 326,989,548,900/379,554
  6. Step 6: Final answer
    x = 861,509.95

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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.