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Finding the Third Proportional to 100,595.25 and 218,490.75

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Solution

The third proportional to 100,595.25 and 218,490.75 is: 474,557.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,595.25 : 218,490.75 = 218,490.75 : x
  2. Step 2: Convert to fraction form
    100,595.25/218,490.75 = 218,490.75/x
  3. Step 3: Cross multiply
    100,595.25x = 218,490.75 × 218,490.75
  4. Step 4: Simplify right side
    100,595.25x = 47,738,207,835.56
  5. Step 5: Solve for x
    x = 47,738,207,835.56/100,595.25
  6. Step 6: Final answer
    x = 474,557.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.