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Finding the Third Proportional to 39,780 and 55,756

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Solution

The third proportional to 39,780 and 55,756 is: 78,148.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,780 : 55,756 = 55,756 : x
  2. Step 2: Convert to fraction form
    39,780/55,756 = 55,756/x
  3. Step 3: Cross multiply
    39,780x = 55,756 × 55,756
  4. Step 4: Simplify right side
    39,780x = 3,108,731,536
  5. Step 5: Solve for x
    x = 3,108,731,536/39,780
  6. Step 6: Final answer
    x = 78,148.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.