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Finding the Third Proportional to 90,288 and 192,237.75

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Solution

The third proportional to 90,288 and 192,237.75 is: 409,305.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,288 : 192,237.75 = 192,237.75 : x
  2. Step 2: Convert to fraction form
    90,288/192,237.75 = 192,237.75/x
  3. Step 3: Cross multiply
    90,288x = 192,237.75 × 192,237.75
  4. Step 4: Simplify right side
    90,288x = 36,955,352,525.06
  5. Step 5: Solve for x
    x = 36,955,352,525.06/90,288
  6. Step 6: Final answer
    x = 409,305.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.