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Finding the Third Proportional to 39,243 and 55,904.50

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Solution

The third proportional to 39,243 and 55,904.50 is: 79,640.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,243 : 55,904.50 = 55,904.50 : x
  2. Step 2: Convert to fraction form
    39,243/55,904.50 = 55,904.50/x
  3. Step 3: Cross multiply
    39,243x = 55,904.50 × 55,904.50
  4. Step 4: Simplify right side
    39,243x = 3,125,313,120.25
  5. Step 5: Solve for x
    x = 3,125,313,120.25/39,243
  6. Step 6: Final answer
    x = 79,640.02

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.