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Finding the Third Proportional to 392,427 and 847,578

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Solution

The third proportional to 392,427 and 847,578 is: 1,830,629.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,427 : 847,578 = 847,578 : x
  2. Step 2: Convert to fraction form
    392,427/847,578 = 847,578/x
  3. Step 3: Cross multiply
    392,427x = 847,578 × 847,578
  4. Step 4: Simplify right side
    392,427x = 718,388,466,084
  5. Step 5: Solve for x
    x = 718,388,466,084/392,427
  6. Step 6: Final answer
    x = 1,830,629.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.