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Finding the Third Proportional to 53,756 and 80,688

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Solution

The third proportional to 53,756 and 80,688 is: 121,113.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,756 : 80,688 = 80,688 : x
  2. Step 2: Convert to fraction form
    53,756/80,688 = 80,688/x
  3. Step 3: Cross multiply
    53,756x = 80,688 × 80,688
  4. Step 4: Simplify right side
    53,756x = 6,510,553,344
  5. Step 5: Solve for x
    x = 6,510,553,344/53,756
  6. Step 6: Final answer
    x = 121,113.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.