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Finding the Third Proportional to 189,560 and 284,820

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Solution

The third proportional to 189,560 and 284,820 is: 427,951.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,560 : 284,820 = 284,820 : x
  2. Step 2: Convert to fraction form
    189,560/284,820 = 284,820/x
  3. Step 3: Cross multiply
    189,560x = 284,820 × 284,820
  4. Step 4: Simplify right side
    189,560x = 81,122,432,400
  5. Step 5: Solve for x
    x = 81,122,432,400/189,560
  6. Step 6: Final answer
    x = 427,951.22

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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.