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Finding the Third Proportional to 251,510 and 380,517

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Solution

The third proportional to 251,510 and 380,517 is: 575,695.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,510 : 380,517 = 380,517 : x
  2. Step 2: Convert to fraction form
    251,510/380,517 = 380,517/x
  3. Step 3: Cross multiply
    251,510x = 380,517 × 380,517
  4. Step 4: Simplify right side
    251,510x = 144,793,187,289
  5. Step 5: Solve for x
    x = 144,793,187,289/251,510
  6. Step 6: Final answer
    x = 575,695.55

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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.