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Finding the Third Proportional to 78,000 and 120,675

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Solution

The third proportional to 78,000 and 120,675 is: 186,698.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,000 : 120,675 = 120,675 : x
  2. Step 2: Convert to fraction form
    78,000/120,675 = 120,675/x
  3. Step 3: Cross multiply
    78,000x = 120,675 × 120,675
  4. Step 4: Simplify right side
    78,000x = 14,562,455,625
  5. Step 5: Solve for x
    x = 14,562,455,625/78,000
  6. Step 6: Final answer
    x = 186,698.15

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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.