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Finding the Third Proportional to 217,200 and 318,036

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Solution

The third proportional to 217,200 and 318,036 is: 465,685.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,200 : 318,036 = 318,036 : x
  2. Step 2: Convert to fraction form
    217,200/318,036 = 318,036/x
  3. Step 3: Cross multiply
    217,200x = 318,036 × 318,036
  4. Step 4: Simplify right side
    217,200x = 101,146,897,296
  5. Step 5: Solve for x
    x = 101,146,897,296/217,200
  6. Step 6: Final answer
    x = 465,685.53

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.