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Finding the Third Proportional to 251,498 and 538,988

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Solution

The third proportional to 251,498 and 538,988 is: 1,155,110.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,498 : 538,988 = 538,988 : x
  2. Step 2: Convert to fraction form
    251,498/538,988 = 538,988/x
  3. Step 3: Cross multiply
    251,498x = 538,988 × 538,988
  4. Step 4: Simplify right side
    251,498x = 290,508,064,144
  5. Step 5: Solve for x
    x = 290,508,064,144/251,498
  6. Step 6: Final answer
    x = 1,155,110.83

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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.