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Finding the Third Proportional to 392,670 and 814,482

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Solution

The third proportional to 392,670 and 814,482 is: 1,689,410.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,670 : 814,482 = 814,482 : x
  2. Step 2: Convert to fraction form
    392,670/814,482 = 814,482/x
  3. Step 3: Cross multiply
    392,670x = 814,482 × 814,482
  4. Step 4: Simplify right side
    392,670x = 663,380,928,324
  5. Step 5: Solve for x
    x = 663,380,928,324/392,670
  6. Step 6: Final answer
    x = 1,689,410.77

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.