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Finding the Third Proportional to 90,046.50 and 193,434

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Solution

The third proportional to 90,046.50 and 193,434 is: 415,526.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,046.50 : 193,434 = 193,434 : x
  2. Step 2: Convert to fraction form
    90,046.50/193,434 = 193,434/x
  3. Step 3: Cross multiply
    90,046.50x = 193,434 × 193,434
  4. Step 4: Simplify right side
    90,046.50x = 37,416,712,356
  5. Step 5: Solve for x
    x = 37,416,712,356/90,046.50
  6. Step 6: Final answer
    x = 415,526.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.