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Finding the Third Proportional to 52,678.50 and 111,552

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Solution

The third proportional to 52,678.50 and 111,552 is: 236,222.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,678.50 : 111,552 = 111,552 : x
  2. Step 2: Convert to fraction form
    52,678.50/111,552 = 111,552/x
  3. Step 3: Cross multiply
    52,678.50x = 111,552 × 111,552
  4. Step 4: Simplify right side
    52,678.50x = 12,443,848,704
  5. Step 5: Solve for x
    x = 12,443,848,704/52,678.50
  6. Step 6: Final answer
    x = 236,222.53

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Why These Related Problems?

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