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Finding the Third Proportional to 391,380 and 849,678

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Solution

The third proportional to 391,380 and 849,678 is: 1,844,633.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,380 : 849,678 = 849,678 : x
  2. Step 2: Convert to fraction form
    391,380/849,678 = 849,678/x
  3. Step 3: Cross multiply
    391,380x = 849,678 × 849,678
  4. Step 4: Simplify right side
    391,380x = 721,952,703,684
  5. Step 5: Solve for x
    x = 721,952,703,684/391,380
  6. Step 6: Final answer
    x = 1,844,633.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.