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Finding the Third Proportional to 390,080 and 582,568

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Solution

The third proportional to 390,080 and 582,568 is: 870,040.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,080 : 582,568 = 582,568 : x
  2. Step 2: Convert to fraction form
    390,080/582,568 = 582,568/x
  3. Step 3: Cross multiply
    390,080x = 582,568 × 582,568
  4. Step 4: Simplify right side
    390,080x = 339,385,474,624
  5. Step 5: Solve for x
    x = 339,385,474,624/390,080
  6. Step 6: Final answer
    x = 870,040.70

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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.