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Finding the Third Proportional to 778,632.75 and 1,178,329.78

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Solution

The third proportional to 778,632.75 and 1,178,329.78 is: 1,783,204.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,632.75 : 1,178,329.78 = 1,178,329.78 : x
  2. Step 2: Convert to fraction form
    778,632.75/1,178,329.78 = 1,178,329.78/x
  3. Step 3: Cross multiply
    778,632.75x = 1,178,329.78 × 1,178,329.78
  4. Step 4: Simplify right side
    778,632.75x = 1,388,461,073,380.67
  5. Step 5: Solve for x
    x = 1,388,461,073,380.67/778,632.75
  6. Step 6: Final answer
    x = 1,783,204.05

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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.