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Finding the Third Proportional to 417,014.25 and 690,222.75

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Solution

The third proportional to 417,014.25 and 690,222.75 is: 1,142,424.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,014.25 : 690,222.75 = 690,222.75 : x
  2. Step 2: Convert to fraction form
    417,014.25/690,222.75 = 690,222.75/x
  3. Step 3: Cross multiply
    417,014.25x = 690,222.75 × 690,222.75
  4. Step 4: Simplify right side
    417,014.25x = 476,407,444,617.56
  5. Step 5: Solve for x
    x = 476,407,444,617.56/417,014.25
  6. Step 6: Final answer
    x = 1,142,424.86

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.