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Finding the Third Proportional to 216,888.89 and 324,086.06

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Solution

The third proportional to 216,888.89 and 324,086.06 is: 484,265.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,888.89 : 324,086.06 = 324,086.06 : x
  2. Step 2: Convert to fraction form
    216,888.89/324,086.06 = 324,086.06/x
  3. Step 3: Cross multiply
    216,888.89x = 324,086.06 × 324,086.06
  4. Step 4: Simplify right side
    216,888.89x = 105,031,775,906.75
  5. Step 5: Solve for x
    x = 105,031,775,906.75/216,888.89
  6. Step 6: Final answer
    x = 484,265.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.