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Finding the Third Proportional to 189,480.20 and 284,220.30

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Solution

The third proportional to 189,480.20 and 284,220.30 is: 426,330.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,480.20 : 284,220.30 = 284,220.30 : x
  2. Step 2: Convert to fraction form
    189,480.20/284,220.30 = 284,220.30/x
  3. Step 3: Cross multiply
    189,480.20x = 284,220.30 × 284,220.30
  4. Step 4: Simplify right side
    189,480.20x = 80,781,178,265.95
  5. Step 5: Solve for x
    x = 80,781,178,265.95/189,480.20
  6. Step 6: Final answer
    x = 426,330.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.