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Finding the Third Proportional to 63,855 and 138,878

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Solution

The third proportional to 63,855 and 138,878 is: 302,045.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,855 : 138,878 = 138,878 : x
  2. Step 2: Convert to fraction form
    63,855/138,878 = 138,878/x
  3. Step 3: Cross multiply
    63,855x = 138,878 × 138,878
  4. Step 4: Simplify right side
    63,855x = 19,287,098,884
  5. Step 5: Solve for x
    x = 19,287,098,884/63,855
  6. Step 6: Final answer
    x = 302,045.24

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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.