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Finding the Third Proportional to 207,576 and 321,048

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Solution

The third proportional to 207,576 and 321,048 is: 496,549.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,576 : 321,048 = 321,048 : x
  2. Step 2: Convert to fraction form
    207,576/321,048 = 321,048/x
  3. Step 3: Cross multiply
    207,576x = 321,048 × 321,048
  4. Step 4: Simplify right side
    207,576x = 103,071,818,304
  5. Step 5: Solve for x
    x = 103,071,818,304/207,576
  6. Step 6: Final answer
    x = 496,549.79

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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.