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Finding the Third Proportional to 786,289.78 and 1,719,789.47

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Solution

The third proportional to 786,289.78 and 1,719,789.47 is: 3,761,559.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,289.78 : 1,719,789.47 = 1,719,789.47 : x
  2. Step 2: Convert to fraction form
    786,289.78/1,719,789.47 = 1,719,789.47/x
  3. Step 3: Cross multiply
    786,289.78x = 1,719,789.47 × 1,719,789.47
  4. Step 4: Simplify right side
    786,289.78x = 2,957,675,816,823.41
  5. Step 5: Solve for x
    x = 2,957,675,816,823.41/786,289.78
  6. Step 6: Final answer
    x = 3,761,559.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.