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Finding the Third Proportional to 112.64 and 245.77

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Solution

The third proportional to 112.64 and 245.77 is: 536.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.64 : 245.77 = 245.77 : x
  2. Step 2: Convert to fraction form
    112.64/245.77 = 245.77/x
  3. Step 3: Cross multiply
    112.64x = 245.77 × 245.77
  4. Step 4: Simplify right side
    112.64x = 60,402.18
  5. Step 5: Solve for x
    x = 60,402.18/112.64
  6. Step 6: Final answer
    x = 536.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.