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Finding the Third Proportional to 189,336 and 284,490

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Solution

The third proportional to 189,336 and 284,490 is: 427,465.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,336 : 284,490 = 284,490 : x
  2. Step 2: Convert to fraction form
    189,336/284,490 = 284,490/x
  3. Step 3: Cross multiply
    189,336x = 284,490 × 284,490
  4. Step 4: Simplify right side
    189,336x = 80,934,560,100
  5. Step 5: Solve for x
    x = 80,934,560,100/189,336
  6. Step 6: Final answer
    x = 427,465.25

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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.