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Finding the Third Proportional to 207,822 and 322,426

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Solution

The third proportional to 207,822 and 322,426 is: 500,228.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,822 : 322,426 = 322,426 : x
  2. Step 2: Convert to fraction form
    207,822/322,426 = 322,426/x
  3. Step 3: Cross multiply
    207,822x = 322,426 × 322,426
  4. Step 4: Simplify right side
    207,822x = 103,958,525,476
  5. Step 5: Solve for x
    x = 103,958,525,476/207,822
  6. Step 6: Final answer
    x = 500,228.68

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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.