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Finding the Third Proportional to 39,220.50 and 55,536

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Solution

The third proportional to 39,220.50 and 55,536 is: 78,638.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,220.50 : 55,536 = 55,536 : x
  2. Step 2: Convert to fraction form
    39,220.50/55,536 = 55,536/x
  3. Step 3: Cross multiply
    39,220.50x = 55,536 × 55,536
  4. Step 4: Simplify right side
    39,220.50x = 3,084,247,296
  5. Step 5: Solve for x
    x = 3,084,247,296/39,220.50
  6. Step 6: Final answer
    x = 78,638.65

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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.