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Finding the Third Proportional to 207,648 and 312,864

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Solution

The third proportional to 207,648 and 312,864 is: 471,393.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,648 : 312,864 = 312,864 : x
  2. Step 2: Convert to fraction form
    207,648/312,864 = 312,864/x
  3. Step 3: Cross multiply
    207,648x = 312,864 × 312,864
  4. Step 4: Simplify right side
    207,648x = 97,883,882,496
  5. Step 5: Solve for x
    x = 97,883,882,496/207,648
  6. Step 6: Final answer
    x = 471,393.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.