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Finding the Third Proportional to 284,192 and 424,338

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Solution

The third proportional to 284,192 and 424,338 is: 633,595.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,192 : 424,338 = 424,338 : x
  2. Step 2: Convert to fraction form
    284,192/424,338 = 424,338/x
  3. Step 3: Cross multiply
    284,192x = 424,338 × 424,338
  4. Step 4: Simplify right side
    284,192x = 180,062,738,244
  5. Step 5: Solve for x
    x = 180,062,738,244/284,192
  6. Step 6: Final answer
    x = 633,595.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.