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Finding the Third Proportional to 193,110.75 and 420,534

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Solution

The third proportional to 193,110.75 and 420,534 is: 915,789.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,110.75 : 420,534 = 420,534 : x
  2. Step 2: Convert to fraction form
    193,110.75/420,534 = 420,534/x
  3. Step 3: Cross multiply
    193,110.75x = 420,534 × 420,534
  4. Step 4: Simplify right side
    193,110.75x = 176,848,845,156
  5. Step 5: Solve for x
    x = 176,848,845,156/193,110.75
  6. Step 6: Final answer
    x = 915,789.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.