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Finding the Third Proportional to 39,490 and 83,876

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Solution

The third proportional to 39,490 and 83,876 is: 178,151.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,490 : 83,876 = 83,876 : x
  2. Step 2: Convert to fraction form
    39,490/83,876 = 83,876/x
  3. Step 3: Cross multiply
    39,490x = 83,876 × 83,876
  4. Step 4: Simplify right side
    39,490x = 7,035,183,376
  5. Step 5: Solve for x
    x = 7,035,183,376/39,490
  6. Step 6: Final answer
    x = 178,151.01

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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.