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Finding the Third Proportional to 180,931 and 395,395

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Solution

The third proportional to 180,931 and 395,395 is: 864,070.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,931 : 395,395 = 395,395 : x
  2. Step 2: Convert to fraction form
    180,931/395,395 = 395,395/x
  3. Step 3: Cross multiply
    180,931x = 395,395 × 395,395
  4. Step 4: Simplify right side
    180,931x = 156,337,206,025
  5. Step 5: Solve for x
    x = 156,337,206,025/180,931
  6. Step 6: Final answer
    x = 864,070.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.