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Finding the Third Proportional to 328.84 and 708.95

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Solution

The third proportional to 328.84 and 708.95 is: 1,528.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.84 : 708.95 = 708.95 : x
  2. Step 2: Convert to fraction form
    328.84/708.95 = 708.95/x
  3. Step 3: Cross multiply
    328.84x = 708.95 × 708.95
  4. Step 4: Simplify right side
    328.84x = 502,614.53
  5. Step 5: Solve for x
    x = 502,614.53/328.84
  6. Step 6: Final answer
    x = 1,528.43

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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.