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Finding the Third Proportional to 378,822 and 631,290

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Solution

The third proportional to 378,822 and 631,290 is: 1,052,016.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,822 : 631,290 = 631,290 : x
  2. Step 2: Convert to fraction form
    378,822/631,290 = 631,290/x
  3. Step 3: Cross multiply
    378,822x = 631,290 × 631,290
  4. Step 4: Simplify right side
    378,822x = 398,527,064,100
  5. Step 5: Solve for x
    x = 398,527,064,100/378,822
  6. Step 6: Final answer
    x = 1,052,016.68

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.