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Finding the Third Proportional to 820,390.78 and 1,241,905.61

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Solution

The third proportional to 820,390.78 and 1,241,905.61 is: 1,879,993.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,390.78 : 1,241,905.61 = 1,241,905.61 : x
  2. Step 2: Convert to fraction form
    820,390.78/1,241,905.61 = 1,241,905.61/x
  3. Step 3: Cross multiply
    820,390.78x = 1,241,905.61 × 1,241,905.61
  4. Step 4: Simplify right side
    820,390.78x = 1,542,329,532,894.83
  5. Step 5: Solve for x
    x = 1,542,329,532,894.83/820,390.78
  6. Step 6: Final answer
    x = 1,879,993.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.