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Finding the Third Proportional to 326.90 and 711.47

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Solution

The third proportional to 326.90 and 711.47 is: 1,548.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.90 : 711.47 = 711.47 : x
  2. Step 2: Convert to fraction form
    326.90/711.47 = 711.47/x
  3. Step 3: Cross multiply
    326.90x = 711.47 × 711.47
  4. Step 4: Simplify right side
    326.90x = 506,188.30
  5. Step 5: Solve for x
    x = 506,188.30/326.90
  6. Step 6: Final answer
    x = 1,548.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.