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Finding the Third Proportional to 57,342 and 86,878

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Solution

The third proportional to 57,342 and 86,878 is: 131,627.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,342 : 86,878 = 86,878 : x
  2. Step 2: Convert to fraction form
    57,342/86,878 = 86,878/x
  3. Step 3: Cross multiply
    57,342x = 86,878 × 86,878
  4. Step 4: Simplify right side
    57,342x = 7,547,786,884
  5. Step 5: Solve for x
    x = 7,547,786,884/57,342
  6. Step 6: Final answer
    x = 131,627.55

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.