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Finding the Third Proportional to 392,458.13 and 847,650.75

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Solution

The third proportional to 392,458.13 and 847,650.75 is: 1,830,798.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,458.13 : 847,650.75 = 847,650.75 : x
  2. Step 2: Convert to fraction form
    392,458.13/847,650.75 = 847,650.75/x
  3. Step 3: Cross multiply
    392,458.13x = 847,650.75 × 847,650.75
  4. Step 4: Simplify right side
    392,458.13x = 718,511,793,975.56
  5. Step 5: Solve for x
    x = 718,511,793,975.56/392,458.13
  6. Step 6: Final answer
    x = 1,830,798.62

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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.