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Finding the Third Proportional to 390,082 and 582,571

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Solution

The third proportional to 390,082 and 582,571 is: 870,045.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,082 : 582,571 = 582,571 : x
  2. Step 2: Convert to fraction form
    390,082/582,571 = 582,571/x
  3. Step 3: Cross multiply
    390,082x = 582,571 × 582,571
  4. Step 4: Simplify right side
    390,082x = 339,388,970,041
  5. Step 5: Solve for x
    x = 339,388,970,041/390,082
  6. Step 6: Final answer
    x = 870,045.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.