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Finding the Third Proportional to 698,763.38 and 988,959.38

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Solution

The third proportional to 698,763.38 and 988,959.38 is: 1,399,673.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,763.38 : 988,959.38 = 988,959.38 : x
  2. Step 2: Convert to fraction form
    698,763.38/988,959.38 = 988,959.38/x
  3. Step 3: Cross multiply
    698,763.38x = 988,959.38 × 988,959.38
  4. Step 4: Simplify right side
    698,763.38x = 978,040,645,400.39
  5. Step 5: Solve for x
    x = 978,040,645,400.39/698,763.38
  6. Step 6: Final answer
    x = 1,399,673.60

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.