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Finding the Third Proportional to 52,767 and 111,000.75

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Solution

The third proportional to 52,767 and 111,000.75 is: 233,501.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,767 : 111,000.75 = 111,000.75 : x
  2. Step 2: Convert to fraction form
    52,767/111,000.75 = 111,000.75/x
  3. Step 3: Cross multiply
    52,767x = 111,000.75 × 111,000.75
  4. Step 4: Simplify right side
    52,767x = 12,321,166,500.56
  5. Step 5: Solve for x
    x = 12,321,166,500.56/52,767
  6. Step 6: Final answer
    x = 233,501.36

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.