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Finding the Third Proportional to 189,424 and 385,376

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Solution

The third proportional to 189,424 and 385,376 is: 784,032.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,424 : 385,376 = 385,376 : x
  2. Step 2: Convert to fraction form
    189,424/385,376 = 385,376/x
  3. Step 3: Cross multiply
    189,424x = 385,376 × 385,376
  4. Step 4: Simplify right side
    189,424x = 148,514,661,376
  5. Step 5: Solve for x
    x = 148,514,661,376/189,424
  6. Step 6: Final answer
    x = 784,032.97

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.