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Finding the Third Proportional to 392,706 and 847,188

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Solution

The third proportional to 392,706 and 847,188 is: 1,827,645.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,706 : 847,188 = 847,188 : x
  2. Step 2: Convert to fraction form
    392,706/847,188 = 847,188/x
  3. Step 3: Cross multiply
    392,706x = 847,188 × 847,188
  4. Step 4: Simplify right side
    392,706x = 717,727,507,344
  5. Step 5: Solve for x
    x = 717,727,507,344/392,706
  6. Step 6: Final answer
    x = 1,827,645.89

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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.