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Finding the Third Proportional to 38,490 and 81,660

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Solution

The third proportional to 38,490 and 81,660 is: 173,249.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,490 : 81,660 = 81,660 : x
  2. Step 2: Convert to fraction form
    38,490/81,660 = 81,660/x
  3. Step 3: Cross multiply
    38,490x = 81,660 × 81,660
  4. Step 4: Simplify right side
    38,490x = 6,668,355,600
  5. Step 5: Solve for x
    x = 6,668,355,600/38,490
  6. Step 6: Final answer
    x = 173,249.04

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.