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Finding the Third Proportional to 82,517 and 180,490

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Solution

The third proportional to 82,517 and 180,490 is: 394,787.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,517 : 180,490 = 180,490 : x
  2. Step 2: Convert to fraction form
    82,517/180,490 = 180,490/x
  3. Step 3: Cross multiply
    82,517x = 180,490 × 180,490
  4. Step 4: Simplify right side
    82,517x = 32,576,640,100
  5. Step 5: Solve for x
    x = 32,576,640,100/82,517
  6. Step 6: Final answer
    x = 394,787.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.