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Finding the Third Proportional to 40,082 and 85,724

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Solution

The third proportional to 40,082 and 85,724 is: 183,339.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,082 : 85,724 = 85,724 : x
  2. Step 2: Convert to fraction form
    40,082/85,724 = 85,724/x
  3. Step 3: Cross multiply
    40,082x = 85,724 × 85,724
  4. Step 4: Simplify right side
    40,082x = 7,348,604,176
  5. Step 5: Solve for x
    x = 7,348,604,176/40,082
  6. Step 6: Final answer
    x = 183,339.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.