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Finding the Third Proportional to 251,240 and 538,880

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Solution

The third proportional to 251,240 and 538,880 is: 1,155,833.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,240 : 538,880 = 538,880 : x
  2. Step 2: Convert to fraction form
    251,240/538,880 = 538,880/x
  3. Step 3: Cross multiply
    251,240x = 538,880 × 538,880
  4. Step 4: Simplify right side
    251,240x = 290,391,654,400
  5. Step 5: Solve for x
    x = 290,391,654,400/251,240
  6. Step 6: Final answer
    x = 1,155,833.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.