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Finding the Third Proportional to 85,216 and 182,720

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Solution

The third proportional to 85,216 and 182,720 is: 391,787.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,216 : 182,720 = 182,720 : x
  2. Step 2: Convert to fraction form
    85,216/182,720 = 182,720/x
  3. Step 3: Cross multiply
    85,216x = 182,720 × 182,720
  4. Step 4: Simplify right side
    85,216x = 33,386,598,400
  5. Step 5: Solve for x
    x = 33,386,598,400/85,216
  6. Step 6: Final answer
    x = 391,787.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.