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Finding the Third Proportional to 450,105.75 and 690,189.75

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Solution

The third proportional to 450,105.75 and 690,189.75 is: 1,058,333.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,105.75 : 690,189.75 = 690,189.75 : x
  2. Step 2: Convert to fraction form
    450,105.75/690,189.75 = 690,189.75/x
  3. Step 3: Cross multiply
    450,105.75x = 690,189.75 × 690,189.75
  4. Step 4: Simplify right side
    450,105.75x = 476,361,891,005.06
  5. Step 5: Solve for x
    x = 476,361,891,005.06/450,105.75
  6. Step 6: Final answer
    x = 1,058,333.27

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.