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Finding the Third Proportional to 690,795 and 1,065,675

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Solution

The third proportional to 690,795 and 1,065,675 is: 1,643,994.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,795 : 1,065,675 = 1,065,675 : x
  2. Step 2: Convert to fraction form
    690,795/1,065,675 = 1,065,675/x
  3. Step 3: Cross multiply
    690,795x = 1,065,675 × 1,065,675
  4. Step 4: Simplify right side
    690,795x = 1,135,663,205,625
  5. Step 5: Solve for x
    x = 1,135,663,205,625/690,795
  6. Step 6: Final answer
    x = 1,643,994.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.