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Finding the Third Proportional to 392,461.88 and 847,658.25

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Solution

The third proportional to 392,461.88 and 847,658.25 is: 1,830,813.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,461.88 : 847,658.25 = 847,658.25 : x
  2. Step 2: Convert to fraction form
    392,461.88/847,658.25 = 847,658.25/x
  3. Step 3: Cross multiply
    392,461.88x = 847,658.25 × 847,658.25
  4. Step 4: Simplify right side
    392,461.88x = 718,524,508,793.06
  5. Step 5: Solve for x
    x = 718,524,508,793.06/392,461.88
  6. Step 6: Final answer
    x = 1,830,813.52

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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.