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Finding the Third Proportional to 189,363 and 284,535

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Solution

The third proportional to 189,363 and 284,535 is: 427,539.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,363 : 284,535 = 284,535 : x
  2. Step 2: Convert to fraction form
    189,363/284,535 = 284,535/x
  3. Step 3: Cross multiply
    189,363x = 284,535 × 284,535
  4. Step 4: Simplify right side
    189,363x = 80,960,166,225
  5. Step 5: Solve for x
    x = 80,960,166,225/189,363
  6. Step 6: Final answer
    x = 427,539.52

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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.