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Finding the Third Proportional to 284,394 and 428,394

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Solution

The third proportional to 284,394 and 428,394 is: 645,306.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,394 : 428,394 = 428,394 : x
  2. Step 2: Convert to fraction form
    284,394/428,394 = 428,394/x
  3. Step 3: Cross multiply
    284,394x = 428,394 × 428,394
  4. Step 4: Simplify right side
    284,394x = 183,521,419,236
  5. Step 5: Solve for x
    x = 183,521,419,236/284,394
  6. Step 6: Final answer
    x = 645,306.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.