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Finding the Third Proportional to 100,255.50 and 145,869.75

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Solution

The third proportional to 100,255.50 and 145,869.75 is: 212,237.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,255.50 : 145,869.75 = 145,869.75 : x
  2. Step 2: Convert to fraction form
    100,255.50/145,869.75 = 145,869.75/x
  3. Step 3: Cross multiply
    100,255.50x = 145,869.75 × 145,869.75
  4. Step 4: Simplify right side
    100,255.50x = 21,277,983,965.06
  5. Step 5: Solve for x
    x = 21,277,983,965.06/100,255.50
  6. Step 6: Final answer
    x = 212,237.57

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.