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Finding the Third Proportional to 390,357.07 and 582,286.61

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Solution

The third proportional to 390,357.07 and 582,286.61 is: 868,583.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,357.07 : 582,286.61 = 582,286.61 : x
  2. Step 2: Convert to fraction form
    390,357.07/582,286.61 = 582,286.61/x
  3. Step 3: Cross multiply
    390,357.07x = 582,286.61 × 582,286.61
  4. Step 4: Simplify right side
    390,357.07x = 339,057,701,143.80
  5. Step 5: Solve for x
    x = 339,057,701,143.80/390,357.07
  6. Step 6: Final answer
    x = 868,583.47

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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.