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Finding the Third Proportional to 489,052.69 and 991,918.83

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Solution

The third proportional to 489,052.69 and 991,918.83 is: 2,011,854.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,052.69 : 991,918.83 = 991,918.83 : x
  2. Step 2: Convert to fraction form
    489,052.69/991,918.83 = 991,918.83/x
  3. Step 3: Cross multiply
    489,052.69x = 991,918.83 × 991,918.83
  4. Step 4: Simplify right side
    489,052.69x = 983,902,961,588.87
  5. Step 5: Solve for x
    x = 983,902,961,588.87/489,052.69
  6. Step 6: Final answer
    x = 2,011,854.73

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.