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Finding the Third Proportional to 690,801.75 and 1,065,723.75

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Solution

The third proportional to 690,801.75 and 1,065,723.75 is: 1,644,128.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,801.75 : 1,065,723.75 = 1,065,723.75 : x
  2. Step 2: Convert to fraction form
    690,801.75/1,065,723.75 = 1,065,723.75/x
  3. Step 3: Cross multiply
    690,801.75x = 1,065,723.75 × 1,065,723.75
  4. Step 4: Simplify right side
    690,801.75x = 1,135,767,111,314.06
  5. Step 5: Solve for x
    x = 1,135,767,111,314.06/690,801.75
  6. Step 6: Final answer
    x = 1,644,128.89

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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.