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Finding the Third Proportional to 63,835 and 138,863

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Solution

The third proportional to 63,835 and 138,863 is: 302,074.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,835 : 138,863 = 138,863 : x
  2. Step 2: Convert to fraction form
    63,835/138,863 = 138,863/x
  3. Step 3: Cross multiply
    63,835x = 138,863 × 138,863
  4. Step 4: Simplify right side
    63,835x = 19,282,932,769
  5. Step 5: Solve for x
    x = 19,282,932,769/63,835
  6. Step 6: Final answer
    x = 302,074.61

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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.