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Finding the Third Proportional to 216,978.75 and 324,177.19

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Solution

The third proportional to 216,978.75 and 324,177.19 is: 484,337.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,978.75 : 324,177.19 = 324,177.19 : x
  2. Step 2: Convert to fraction form
    216,978.75/324,177.19 = 324,177.19/x
  3. Step 3: Cross multiply
    216,978.75x = 324,177.19 × 324,177.19
  4. Step 4: Simplify right side
    216,978.75x = 105,090,848,895.41
  5. Step 5: Solve for x
    x = 105,090,848,895.41/216,978.75
  6. Step 6: Final answer
    x = 484,337.06

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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.