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Finding the Third Proportional to 398,082 and 585,378

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Solution

The third proportional to 398,082 and 585,378 is: 860,796.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,082 : 585,378 = 585,378 : x
  2. Step 2: Convert to fraction form
    398,082/585,378 = 585,378/x
  3. Step 3: Cross multiply
    398,082x = 585,378 × 585,378
  4. Step 4: Simplify right side
    398,082x = 342,667,402,884
  5. Step 5: Solve for x
    x = 342,667,402,884/398,082
  6. Step 6: Final answer
    x = 860,796.02

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.