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Finding the Third Proportional to 489,771 and 756,821

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Solution

The third proportional to 489,771 and 756,821 is: 1,169,481.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,771 : 756,821 = 756,821 : x
  2. Step 2: Convert to fraction form
    489,771/756,821 = 756,821/x
  3. Step 3: Cross multiply
    489,771x = 756,821 × 756,821
  4. Step 4: Simplify right side
    489,771x = 572,778,026,041
  5. Step 5: Solve for x
    x = 572,778,026,041/489,771
  6. Step 6: Final answer
    x = 1,169,481.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.