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Finding the Third Proportional to 328.90 and 713.34

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Solution

The third proportional to 328.90 and 713.34 is: 1,547.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.90 : 713.34 = 713.34 : x
  2. Step 2: Convert to fraction form
    328.90/713.34 = 713.34/x
  3. Step 3: Cross multiply
    328.90x = 713.34 × 713.34
  4. Step 4: Simplify right side
    328.90x = 508,850.95
  5. Step 5: Solve for x
    x = 508,850.95/328.90
  6. Step 6: Final answer
    x = 1,547.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.