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Finding the Third Proportional to 216,178.88 and 318,679.31

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Solution

The third proportional to 216,178.88 and 318,679.31 is: 469,779.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,178.88 : 318,679.31 = 318,679.31 : x
  2. Step 2: Convert to fraction form
    216,178.88/318,679.31 = 318,679.31/x
  3. Step 3: Cross multiply
    216,178.88x = 318,679.31 × 318,679.31
  4. Step 4: Simplify right side
    216,178.88x = 101,556,504,215.47
  5. Step 5: Solve for x
    x = 101,556,504,215.47/216,178.88
  6. Step 6: Final answer
    x = 469,779.96

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.