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Finding the Third Proportional to 86,142 and 182,721

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Solution

The third proportional to 86,142 and 182,721 is: 387,580.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,142 : 182,721 = 182,721 : x
  2. Step 2: Convert to fraction form
    86,142/182,721 = 182,721/x
  3. Step 3: Cross multiply
    86,142x = 182,721 × 182,721
  4. Step 4: Simplify right side
    86,142x = 33,386,963,841
  5. Step 5: Solve for x
    x = 33,386,963,841/86,142
  6. Step 6: Final answer
    x = 387,580.55

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.