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Finding the Third Proportional to 195,320 and 418,288

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Solution

The third proportional to 195,320 and 418,288 is: 895,785.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,320 : 418,288 = 418,288 : x
  2. Step 2: Convert to fraction form
    195,320/418,288 = 418,288/x
  3. Step 3: Cross multiply
    195,320x = 418,288 × 418,288
  4. Step 4: Simplify right side
    195,320x = 174,964,850,944
  5. Step 5: Solve for x
    x = 174,964,850,944/195,320
  6. Step 6: Final answer
    x = 895,785.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.