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Finding the Third Proportional to 488,926.13 and 777,979.69

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Solution

The third proportional to 488,926.13 and 777,979.69 is: 1,237,921.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,926.13 : 777,979.69 = 777,979.69 : x
  2. Step 2: Convert to fraction form
    488,926.13/777,979.69 = 777,979.69/x
  3. Step 3: Cross multiply
    488,926.13x = 777,979.69 × 777,979.69
  4. Step 4: Simplify right side
    488,926.13x = 605,252,394,162.60
  5. Step 5: Solve for x
    x = 605,252,394,162.60/488,926.13
  6. Step 6: Final answer
    x = 1,237,921.97

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.