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Finding the Third Proportional to 41,254 and 63,986

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Solution

The third proportional to 41,254 and 63,986 is: 99,243.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,254 : 63,986 = 63,986 : x
  2. Step 2: Convert to fraction form
    41,254/63,986 = 63,986/x
  3. Step 3: Cross multiply
    41,254x = 63,986 × 63,986
  4. Step 4: Simplify right side
    41,254x = 4,094,208,196
  5. Step 5: Solve for x
    x = 4,094,208,196/41,254
  6. Step 6: Final answer
    x = 99,243.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.