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Finding the Third Proportional to 29,418 and 63,778

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Solution

The third proportional to 29,418 and 63,778 is: 138,270.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,418 : 63,778 = 63,778 : x
  2. Step 2: Convert to fraction form
    29,418/63,778 = 63,778/x
  3. Step 3: Cross multiply
    29,418x = 63,778 × 63,778
  4. Step 4: Simplify right side
    29,418x = 4,067,633,284
  5. Step 5: Solve for x
    x = 4,067,633,284/29,418
  6. Step 6: Final answer
    x = 138,270.22

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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.