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Finding the Third Proportional to 395,469 and 612,864

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Solution

The third proportional to 395,469 and 612,864 is: 949,764.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,469 : 612,864 = 612,864 : x
  2. Step 2: Convert to fraction form
    395,469/612,864 = 612,864/x
  3. Step 3: Cross multiply
    395,469x = 612,864 × 612,864
  4. Step 4: Simplify right side
    395,469x = 375,602,282,496
  5. Step 5: Solve for x
    x = 375,602,282,496/395,469
  6. Step 6: Final answer
    x = 949,764.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.