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Finding the Third Proportional to 392,438 and 847,593

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Solution

The third proportional to 392,438 and 847,593 is: 1,830,643.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,438 : 847,593 = 847,593 : x
  2. Step 2: Convert to fraction form
    392,438/847,593 = 847,593/x
  3. Step 3: Cross multiply
    392,438x = 847,593 × 847,593
  4. Step 4: Simplify right side
    392,438x = 718,413,893,649
  5. Step 5: Solve for x
    x = 718,413,893,649/392,438
  6. Step 6: Final answer
    x = 1,830,643.04

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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.