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Finding the Third Proportional to 94,938 and 224,110.75

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Solution

The third proportional to 94,938 and 224,110.75 is: 529,036.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,938 : 224,110.75 = 224,110.75 : x
  2. Step 2: Convert to fraction form
    94,938/224,110.75 = 224,110.75/x
  3. Step 3: Cross multiply
    94,938x = 224,110.75 × 224,110.75
  4. Step 4: Simplify right side
    94,938x = 50,225,628,265.56
  5. Step 5: Solve for x
    x = 50,225,628,265.56/94,938
  6. Step 6: Final answer
    x = 529,036.09

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.