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Finding the Third Proportional to 284,154 and 424,287

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Solution

The third proportional to 284,154 and 424,287 is: 633,527.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,154 : 424,287 = 424,287 : x
  2. Step 2: Convert to fraction form
    284,154/424,287 = 424,287/x
  3. Step 3: Cross multiply
    284,154x = 424,287 × 424,287
  4. Step 4: Simplify right side
    284,154x = 180,019,458,369
  5. Step 5: Solve for x
    x = 180,019,458,369/284,154
  6. Step 6: Final answer
    x = 633,527.80

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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.