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Finding the Third Proportional to 78,000 and 120,720

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Solution

The third proportional to 78,000 and 120,720 is: 186,837.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,000 : 120,720 = 120,720 : x
  2. Step 2: Convert to fraction form
    78,000/120,720 = 120,720/x
  3. Step 3: Cross multiply
    78,000x = 120,720 × 120,720
  4. Step 4: Simplify right side
    78,000x = 14,573,318,400
  5. Step 5: Solve for x
    x = 14,573,318,400/78,000
  6. Step 6: Final answer
    x = 186,837.42

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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.