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Finding the Third Proportional to 386,578 and 784,084

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Solution

The third proportional to 386,578 and 784,084 is: 1,590,332.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,578 : 784,084 = 784,084 : x
  2. Step 2: Convert to fraction form
    386,578/784,084 = 784,084/x
  3. Step 3: Cross multiply
    386,578x = 784,084 × 784,084
  4. Step 4: Simplify right side
    386,578x = 614,787,719,056
  5. Step 5: Solve for x
    x = 614,787,719,056/386,578
  6. Step 6: Final answer
    x = 1,590,332.92

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.