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Finding the Third Proportional to 251,216 and 538,828

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Solution

The third proportional to 251,216 and 538,828 is: 1,155,721.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,216 : 538,828 = 538,828 : x
  2. Step 2: Convert to fraction form
    251,216/538,828 = 538,828/x
  3. Step 3: Cross multiply
    251,216x = 538,828 × 538,828
  4. Step 4: Simplify right side
    251,216x = 290,335,613,584
  5. Step 5: Solve for x
    x = 290,335,613,584/251,216
  6. Step 6: Final answer
    x = 1,155,721.03

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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.