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Finding the Third Proportional to 38,790 and 83,518

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Solution

The third proportional to 38,790 and 83,518 is: 179,820.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,790 : 83,518 = 83,518 : x
  2. Step 2: Convert to fraction form
    38,790/83,518 = 83,518/x
  3. Step 3: Cross multiply
    38,790x = 83,518 × 83,518
  4. Step 4: Simplify right side
    38,790x = 6,975,256,324
  5. Step 5: Solve for x
    x = 6,975,256,324/38,790
  6. Step 6: Final answer
    x = 179,820.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.