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Finding the Third Proportional to 149,811.19 and 321,856.88

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Solution

The third proportional to 149,811.19 and 321,856.88 is: 691,482.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,811.19 : 321,856.88 = 321,856.88 : x
  2. Step 2: Convert to fraction form
    149,811.19/321,856.88 = 321,856.88/x
  3. Step 3: Cross multiply
    149,811.19x = 321,856.88 × 321,856.88
  4. Step 4: Simplify right side
    149,811.19x = 103,591,847,984.77
  5. Step 5: Solve for x
    x = 103,591,847,984.77/149,811.19
  6. Step 6: Final answer
    x = 691,482.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.