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Finding the Third Proportional to 57,157 and 86,875

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Solution

The third proportional to 57,157 and 86,875 is: 132,044.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,157 : 86,875 = 86,875 : x
  2. Step 2: Convert to fraction form
    57,157/86,875 = 86,875/x
  3. Step 3: Cross multiply
    57,157x = 86,875 × 86,875
  4. Step 4: Simplify right side
    57,157x = 7,547,265,625
  5. Step 5: Solve for x
    x = 7,547,265,625/57,157
  6. Step 6: Final answer
    x = 132,044.47

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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.