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Finding the Third Proportional to 57,830 and 86,259

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Solution

The third proportional to 57,830 and 86,259 is: 128,663.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,830 : 86,259 = 86,259 : x
  2. Step 2: Convert to fraction form
    57,830/86,259 = 86,259/x
  3. Step 3: Cross multiply
    57,830x = 86,259 × 86,259
  4. Step 4: Simplify right side
    57,830x = 7,440,615,081
  5. Step 5: Solve for x
    x = 7,440,615,081/57,830
  6. Step 6: Final answer
    x = 128,663.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.