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Finding the Third Proportional to 189,418.50 and 315,657

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Solution

The third proportional to 189,418.50 and 315,657 is: 526,027.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,418.50 : 315,657 = 315,657 : x
  2. Step 2: Convert to fraction form
    189,418.50/315,657 = 315,657/x
  3. Step 3: Cross multiply
    189,418.50x = 315,657 × 315,657
  4. Step 4: Simplify right side
    189,418.50x = 99,639,341,649
  5. Step 5: Solve for x
    x = 99,639,341,649/189,418.50
  6. Step 6: Final answer
    x = 526,027.51

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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.