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Finding the Third Proportional to 189,212.06 and 315,341.44

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Solution

The third proportional to 189,212.06 and 315,341.44 is: 525,549.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,212.06 : 315,341.44 = 315,341.44 : x
  2. Step 2: Convert to fraction form
    189,212.06/315,341.44 = 315,341.44/x
  3. Step 3: Cross multiply
    189,212.06x = 315,341.44 × 315,341.44
  4. Step 4: Simplify right side
    189,212.06x = 99,440,222,204.57
  5. Step 5: Solve for x
    x = 99,440,222,204.57/189,212.06
  6. Step 6: Final answer
    x = 525,549.06

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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.