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Finding the Third Proportional to 189,346.50 and 408,215.25

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Solution

The third proportional to 189,346.50 and 408,215.25 is: 880,078.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,346.50 : 408,215.25 = 408,215.25 : x
  2. Step 2: Convert to fraction form
    189,346.50/408,215.25 = 408,215.25/x
  3. Step 3: Cross multiply
    189,346.50x = 408,215.25 × 408,215.25
  4. Step 4: Simplify right side
    189,346.50x = 166,639,690,332.56
  5. Step 5: Solve for x
    x = 166,639,690,332.56/189,346.50
  6. Step 6: Final answer
    x = 880,078.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.