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Finding the Third Proportional to 82,340 and 177,382

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Solution

The third proportional to 82,340 and 177,382 is: 382,127.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,340 : 177,382 = 177,382 : x
  2. Step 2: Convert to fraction form
    82,340/177,382 = 177,382/x
  3. Step 3: Cross multiply
    82,340x = 177,382 × 177,382
  4. Step 4: Simplify right side
    82,340x = 31,464,373,924
  5. Step 5: Solve for x
    x = 31,464,373,924/82,340
  6. Step 6: Final answer
    x = 382,127.45

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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.