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Finding the Third Proportional to 300,812 and 650,708

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Solution

The third proportional to 300,812 and 650,708 is: 1,407,593.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,812 : 650,708 = 650,708 : x
  2. Step 2: Convert to fraction form
    300,812/650,708 = 650,708/x
  3. Step 3: Cross multiply
    300,812x = 650,708 × 650,708
  4. Step 4: Simplify right side
    300,812x = 423,420,901,264
  5. Step 5: Solve for x
    x = 423,420,901,264/300,812
  6. Step 6: Final answer
    x = 1,407,593.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.