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Finding the Third Proportional to 120,000 and 190,720

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Solution

The third proportional to 120,000 and 190,720 is: 303,117.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,000 : 190,720 = 190,720 : x
  2. Step 2: Convert to fraction form
    120,000/190,720 = 190,720/x
  3. Step 3: Cross multiply
    120,000x = 190,720 × 190,720
  4. Step 4: Simplify right side
    120,000x = 36,374,118,400
  5. Step 5: Solve for x
    x = 36,374,118,400/120,000
  6. Step 6: Final answer
    x = 303,117.65

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.