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Finding the Third Proportional to 53,970 and 80,400

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Solution

The third proportional to 53,970 and 80,400 is: 119,773.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,970 : 80,400 = 80,400 : x
  2. Step 2: Convert to fraction form
    53,970/80,400 = 80,400/x
  3. Step 3: Cross multiply
    53,970x = 80,400 × 80,400
  4. Step 4: Simplify right side
    53,970x = 6,464,160,000
  5. Step 5: Solve for x
    x = 6,464,160,000/53,970
  6. Step 6: Final answer
    x = 119,773.21

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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.