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Finding the Third Proportional to 52,782 and 112,042

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Solution

The third proportional to 52,782 and 112,042 is: 237,835.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,782 : 112,042 = 112,042 : x
  2. Step 2: Convert to fraction form
    52,782/112,042 = 112,042/x
  3. Step 3: Cross multiply
    52,782x = 112,042 × 112,042
  4. Step 4: Simplify right side
    52,782x = 12,553,409,764
  5. Step 5: Solve for x
    x = 12,553,409,764/52,782
  6. Step 6: Final answer
    x = 237,835.05

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.