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Finding the Third Proportional to 63,840 and 85,878

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Solution

The third proportional to 63,840 and 85,878 is: 115,523.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,840 : 85,878 = 85,878 : x
  2. Step 2: Convert to fraction form
    63,840/85,878 = 85,878/x
  3. Step 3: Cross multiply
    63,840x = 85,878 × 85,878
  4. Step 4: Simplify right side
    63,840x = 7,375,030,884
  5. Step 5: Solve for x
    x = 7,375,030,884/63,840
  6. Step 6: Final answer
    x = 115,523.67

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.