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Finding the Third Proportional to 489,949 and 769,919

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Solution

The third proportional to 489,949 and 769,919 is: 1,209,871.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,949 : 769,919 = 769,919 : x
  2. Step 2: Convert to fraction form
    489,949/769,919 = 769,919/x
  3. Step 3: Cross multiply
    489,949x = 769,919 × 769,919
  4. Step 4: Simplify right side
    489,949x = 592,775,266,561
  5. Step 5: Solve for x
    x = 592,775,266,561/489,949
  6. Step 6: Final answer
    x = 1,209,871.37

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.