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Finding the Third Proportional to 78,138 and 121,068

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Solution

The third proportional to 78,138 and 121,068 is: 187,584.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,138 : 121,068 = 121,068 : x
  2. Step 2: Convert to fraction form
    78,138/121,068 = 121,068/x
  3. Step 3: Cross multiply
    78,138x = 121,068 × 121,068
  4. Step 4: Simplify right side
    78,138x = 14,657,460,624
  5. Step 5: Solve for x
    x = 14,657,460,624/78,138
  6. Step 6: Final answer
    x = 187,584.28

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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.