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Finding the Third Proportional to 189,211.50 and 315,340.88

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Solution

The third proportional to 189,211.50 and 315,340.88 is: 525,548.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,211.50 : 315,340.88 = 315,340.88 : x
  2. Step 2: Convert to fraction form
    189,211.50/315,340.88 = 315,340.88/x
  3. Step 3: Cross multiply
    189,211.50x = 315,340.88 × 315,340.88
  4. Step 4: Simplify right side
    189,211.50x = 99,439,867,445.77
  5. Step 5: Solve for x
    x = 99,439,867,445.77/189,211.50
  6. Step 6: Final answer
    x = 525,548.75

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.