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Finding the Third Proportional to 38,820 and 82,724

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Solution

The third proportional to 38,820 and 82,724 is: 176,281.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,820 : 82,724 = 82,724 : x
  2. Step 2: Convert to fraction form
    38,820/82,724 = 82,724/x
  3. Step 3: Cross multiply
    38,820x = 82,724 × 82,724
  4. Step 4: Simplify right side
    38,820x = 6,843,260,176
  5. Step 5: Solve for x
    x = 6,843,260,176/38,820
  6. Step 6: Final answer
    x = 176,281.82

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.