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Finding the Third Proportional to 63,471 and 138,228

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Solution

The third proportional to 63,471 and 138,228 is: 301,034.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,471 : 138,228 = 138,228 : x
  2. Step 2: Convert to fraction form
    63,471/138,228 = 138,228/x
  3. Step 3: Cross multiply
    63,471x = 138,228 × 138,228
  4. Step 4: Simplify right side
    63,471x = 19,106,979,984
  5. Step 5: Solve for x
    x = 19,106,979,984/63,471
  6. Step 6: Final answer
    x = 301,034.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.