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Finding the Third Proportional to 462,678.75 and 690,162.75

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Solution

The third proportional to 462,678.75 and 690,162.75 is: 1,029,493.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,678.75 : 690,162.75 = 690,162.75 : x
  2. Step 2: Convert to fraction form
    462,678.75/690,162.75 = 690,162.75/x
  3. Step 3: Cross multiply
    462,678.75x = 690,162.75 × 690,162.75
  4. Step 4: Simplify right side
    462,678.75x = 476,324,621,487.56
  5. Step 5: Solve for x
    x = 476,324,621,487.56/462,678.75
  6. Step 6: Final answer
    x = 1,029,493.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.