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Finding the Third Proportional to 396,912 and 586,013

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Solution

The third proportional to 396,912 and 586,013 is: 865,207.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,912 : 586,013 = 586,013 : x
  2. Step 2: Convert to fraction form
    396,912/586,013 = 586,013/x
  3. Step 3: Cross multiply
    396,912x = 586,013 × 586,013
  4. Step 4: Simplify right side
    396,912x = 343,411,236,169
  5. Step 5: Solve for x
    x = 343,411,236,169/396,912
  6. Step 6: Final answer
    x = 865,207.49

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.