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Finding the Third Proportional to 82,342 and 177,386

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Solution

The third proportional to 82,342 and 177,386 is: 382,135.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,342 : 177,386 = 177,386 : x
  2. Step 2: Convert to fraction form
    82,342/177,386 = 177,386/x
  3. Step 3: Cross multiply
    82,342x = 177,386 × 177,386
  4. Step 4: Simplify right side
    82,342x = 31,465,792,996
  5. Step 5: Solve for x
    x = 31,465,792,996/82,342
  6. Step 6: Final answer
    x = 382,135.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.