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Finding the Third Proportional to 78,172.50 and 121,120.50

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Solution

The third proportional to 78,172.50 and 121,120.50 is: 187,664.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,172.50 : 121,120.50 = 121,120.50 : x
  2. Step 2: Convert to fraction form
    78,172.50/121,120.50 = 121,120.50/x
  3. Step 3: Cross multiply
    78,172.50x = 121,120.50 × 121,120.50
  4. Step 4: Simplify right side
    78,172.50x = 14,670,175,520.25
  5. Step 5: Solve for x
    x = 14,670,175,520.25/78,172.50
  6. Step 6: Final answer
    x = 187,664.15

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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.