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Finding the Third Proportional to 395,280 and 864,372

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Solution

The third proportional to 395,280 and 864,372 is: 1,890,151.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,280 : 864,372 = 864,372 : x
  2. Step 2: Convert to fraction form
    395,280/864,372 = 864,372/x
  3. Step 3: Cross multiply
    395,280x = 864,372 × 864,372
  4. Step 4: Simplify right side
    395,280x = 747,138,954,384
  5. Step 5: Solve for x
    x = 747,138,954,384/395,280
  6. Step 6: Final answer
    x = 1,890,151.17

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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.