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Finding the Third Proportional to 39,154 and 83,438

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Solution

The third proportional to 39,154 and 83,438 is: 177,808.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,154 : 83,438 = 83,438 : x
  2. Step 2: Convert to fraction form
    39,154/83,438 = 83,438/x
  3. Step 3: Cross multiply
    39,154x = 83,438 × 83,438
  4. Step 4: Simplify right side
    39,154x = 6,961,899,844
  5. Step 5: Solve for x
    x = 6,961,899,844/39,154
  6. Step 6: Final answer
    x = 177,808.14

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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.