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Finding the Third Proportional to 52,336 and 114,625

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Solution

The third proportional to 52,336 and 114,625 is: 251,048.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,336 : 114,625 = 114,625 : x
  2. Step 2: Convert to fraction form
    52,336/114,625 = 114,625/x
  3. Step 3: Cross multiply
    52,336x = 114,625 × 114,625
  4. Step 4: Simplify right side
    52,336x = 13,138,890,625
  5. Step 5: Solve for x
    x = 13,138,890,625/52,336
  6. Step 6: Final answer
    x = 251,048.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.