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Finding the Third Proportional to 778,845 and 1,178,660

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Solution

The third proportional to 778,845 and 1,178,660 is: 1,783,717.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,845 : 1,178,660 = 1,178,660 : x
  2. Step 2: Convert to fraction form
    778,845/1,178,660 = 1,178,660/x
  3. Step 3: Cross multiply
    778,845x = 1,178,660 × 1,178,660
  4. Step 4: Simplify right side
    778,845x = 1,389,239,395,600
  5. Step 5: Solve for x
    x = 1,389,239,395,600/778,845
  6. Step 6: Final answer
    x = 1,783,717.42

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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.