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Finding the Third Proportional to 88,733.25 and 192,437.72

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Solution

The third proportional to 88,733.25 and 192,437.72 is: 417,343.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,733.25 : 192,437.72 = 192,437.72 : x
  2. Step 2: Convert to fraction form
    88,733.25/192,437.72 = 192,437.72/x
  3. Step 3: Cross multiply
    88,733.25x = 192,437.72 × 192,437.72
  4. Step 4: Simplify right side
    88,733.25x = 37,032,275,597.70
  5. Step 5: Solve for x
    x = 37,032,275,597.70/88,733.25
  6. Step 6: Final answer
    x = 417,343.84

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.