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Finding the Third Proportional to 317.04 and 693.35

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Solution

The third proportional to 317.04 and 693.35 is: 1,516.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.04 : 693.35 = 693.35 : x
  2. Step 2: Convert to fraction form
    317.04/693.35 = 693.35/x
  3. Step 3: Cross multiply
    317.04x = 693.35 × 693.35
  4. Step 4: Simplify right side
    317.04x = 480,736.39
  5. Step 5: Solve for x
    x = 480,736.39/317.04
  6. Step 6: Final answer
    x = 1,516.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.