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Finding the Third Proportional to 120,690 and 265,153.50

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Solution

The third proportional to 120,690 and 265,153.50 is: 582,536.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,690 : 265,153.50 = 265,153.50 : x
  2. Step 2: Convert to fraction form
    120,690/265,153.50 = 265,153.50/x
  3. Step 3: Cross multiply
    120,690x = 265,153.50 × 265,153.50
  4. Step 4: Simplify right side
    120,690x = 70,306,378,562.25
  5. Step 5: Solve for x
    x = 70,306,378,562.25/120,690
  6. Step 6: Final answer
    x = 582,536.90

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.