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Finding the Third Proportional to 84,639 and 131,478

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Solution

The third proportional to 84,639 and 131,478 is: 204,237.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,639 : 131,478 = 131,478 : x
  2. Step 2: Convert to fraction form
    84,639/131,478 = 131,478/x
  3. Step 3: Cross multiply
    84,639x = 131,478 × 131,478
  4. Step 4: Simplify right side
    84,639x = 17,286,464,484
  5. Step 5: Solve for x
    x = 17,286,464,484/84,639
  6. Step 6: Final answer
    x = 204,237.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.