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Finding the Third Proportional to 63,894 and 138,836

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Solution

The third proportional to 63,894 and 138,836 is: 301,678.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,894 : 138,836 = 138,836 : x
  2. Step 2: Convert to fraction form
    63,894/138,836 = 138,836/x
  3. Step 3: Cross multiply
    63,894x = 138,836 × 138,836
  4. Step 4: Simplify right side
    63,894x = 19,275,434,896
  5. Step 5: Solve for x
    x = 19,275,434,896/63,894
  6. Step 6: Final answer
    x = 301,678.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.