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Finding the Third Proportional to 57,260 and 86,518

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Solution

The third proportional to 57,260 and 86,518 is: 130,725.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,260 : 86,518 = 86,518 : x
  2. Step 2: Convert to fraction form
    57,260/86,518 = 86,518/x
  3. Step 3: Cross multiply
    57,260x = 86,518 × 86,518
  4. Step 4: Simplify right side
    57,260x = 7,485,364,324
  5. Step 5: Solve for x
    x = 7,485,364,324/57,260
  6. Step 6: Final answer
    x = 130,725.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.