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Finding the Third Proportional to 84,082 and 180,557

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Solution

The third proportional to 84,082 and 180,557 is: 387,726.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,082 : 180,557 = 180,557 : x
  2. Step 2: Convert to fraction form
    84,082/180,557 = 180,557/x
  3. Step 3: Cross multiply
    84,082x = 180,557 × 180,557
  4. Step 4: Simplify right side
    84,082x = 32,600,830,249
  5. Step 5: Solve for x
    x = 32,600,830,249/84,082
  6. Step 6: Final answer
    x = 387,726.63

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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.