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Finding the Third Proportional to 678,744.75 and 997,340.50

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Solution

The third proportional to 678,744.75 and 997,340.50 is: 1,465,481.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,744.75 : 997,340.50 = 997,340.50 : x
  2. Step 2: Convert to fraction form
    678,744.75/997,340.50 = 997,340.50/x
  3. Step 3: Cross multiply
    678,744.75x = 997,340.50 × 997,340.50
  4. Step 4: Simplify right side
    678,744.75x = 994,688,072,940.25
  5. Step 5: Solve for x
    x = 994,688,072,940.25/678,744.75
  6. Step 6: Final answer
    x = 1,465,481.79

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.