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Finding the Third Proportional to 78,532 and 121,734

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Solution

The third proportional to 78,532 and 121,734 is: 188,702.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,532 : 121,734 = 121,734 : x
  2. Step 2: Convert to fraction form
    78,532/121,734 = 121,734/x
  3. Step 3: Cross multiply
    78,532x = 121,734 × 121,734
  4. Step 4: Simplify right side
    78,532x = 14,819,166,756
  5. Step 5: Solve for x
    x = 14,819,166,756/78,532
  6. Step 6: Final answer
    x = 188,702.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.