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Finding the Third Proportional to 677,673.25 and 993,876.56

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Solution

The third proportional to 677,673.25 and 993,876.56 is: 1,457,620.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,673.25 : 993,876.56 = 993,876.56 : x
  2. Step 2: Convert to fraction form
    677,673.25/993,876.56 = 993,876.56/x
  3. Step 3: Cross multiply
    677,673.25x = 993,876.56 × 993,876.56
  4. Step 4: Simplify right side
    677,673.25x = 987,790,621,486.82
  5. Step 5: Solve for x
    x = 987,790,621,486.82/677,673.25
  6. Step 6: Final answer
    x = 1,457,620.80

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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.