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Finding the Third Proportional to 84,478 and 183,557

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Solution

The third proportional to 84,478 and 183,557 is: 398,839.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,478 : 183,557 = 183,557 : x
  2. Step 2: Convert to fraction form
    84,478/183,557 = 183,557/x
  3. Step 3: Cross multiply
    84,478x = 183,557 × 183,557
  4. Step 4: Simplify right side
    84,478x = 33,693,172,249
  5. Step 5: Solve for x
    x = 33,693,172,249/84,478
  6. Step 6: Final answer
    x = 398,839.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.