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Finding the Third Proportional to 120,758.25 and 265,420.50

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Solution

The third proportional to 120,758.25 and 265,420.50 is: 583,380.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,758.25 : 265,420.50 = 265,420.50 : x
  2. Step 2: Convert to fraction form
    120,758.25/265,420.50 = 265,420.50/x
  3. Step 3: Cross multiply
    120,758.25x = 265,420.50 × 265,420.50
  4. Step 4: Simplify right side
    120,758.25x = 70,448,041,820.25
  5. Step 5: Solve for x
    x = 70,448,041,820.25/120,758.25
  6. Step 6: Final answer
    x = 583,380.78

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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.