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Finding the Third Proportional to 52,104 and 112,308

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Solution

The third proportional to 52,104 and 112,308 is: 242,075.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,104 : 112,308 = 112,308 : x
  2. Step 2: Convert to fraction form
    52,104/112,308 = 112,308/x
  3. Step 3: Cross multiply
    52,104x = 112,308 × 112,308
  4. Step 4: Simplify right side
    52,104x = 12,613,086,864
  5. Step 5: Solve for x
    x = 12,613,086,864/52,104
  6. Step 6: Final answer
    x = 242,075.21

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.