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Finding the Third Proportional to 381,990 and 581,289

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Solution

The third proportional to 381,990 and 581,289 is: 884,570.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,990 : 581,289 = 581,289 : x
  2. Step 2: Convert to fraction form
    381,990/581,289 = 581,289/x
  3. Step 3: Cross multiply
    381,990x = 581,289 × 581,289
  4. Step 4: Simplify right side
    381,990x = 337,896,901,521
  5. Step 5: Solve for x
    x = 337,896,901,521/381,990
  6. Step 6: Final answer
    x = 884,570.02

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.