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Finding the Third Proportional to 690,722 and 1,065,627

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Solution

The third proportional to 690,722 and 1,065,627 is: 1,644,020.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,722 : 1,065,627 = 1,065,627 : x
  2. Step 2: Convert to fraction form
    690,722/1,065,627 = 1,065,627/x
  3. Step 3: Cross multiply
    690,722x = 1,065,627 × 1,065,627
  4. Step 4: Simplify right side
    690,722x = 1,135,560,903,129
  5. Step 5: Solve for x
    x = 1,135,560,903,129/690,722
  6. Step 6: Final answer
    x = 1,644,020.17

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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.