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Finding the Third Proportional to 37,280 and 81,122

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Solution

The third proportional to 37,280 and 81,122 is: 176,523.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,280 : 81,122 = 81,122 : x
  2. Step 2: Convert to fraction form
    37,280/81,122 = 81,122/x
  3. Step 3: Cross multiply
    37,280x = 81,122 × 81,122
  4. Step 4: Simplify right side
    37,280x = 6,580,778,884
  5. Step 5: Solve for x
    x = 6,580,778,884/37,280
  6. Step 6: Final answer
    x = 176,523.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.