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Finding the Third Proportional to 189,360 and 408,244.50

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Solution

The third proportional to 189,360 and 408,244.50 is: 880,141.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,360 : 408,244.50 = 408,244.50 : x
  2. Step 2: Convert to fraction form
    189,360/408,244.50 = 408,244.50/x
  3. Step 3: Cross multiply
    189,360x = 408,244.50 × 408,244.50
  4. Step 4: Simplify right side
    189,360x = 166,663,571,780.25
  5. Step 5: Solve for x
    x = 166,663,571,780.25/189,360
  6. Step 6: Final answer
    x = 880,141.38

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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.