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Finding the Third Proportional to 52,127 and 111,635

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Solution

The third proportional to 52,127 and 111,635 is: 239,077.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,127 : 111,635 = 111,635 : x
  2. Step 2: Convert to fraction form
    52,127/111,635 = 111,635/x
  3. Step 3: Cross multiply
    52,127x = 111,635 × 111,635
  4. Step 4: Simplify right side
    52,127x = 12,462,373,225
  5. Step 5: Solve for x
    x = 12,462,373,225/52,127
  6. Step 6: Final answer
    x = 239,077.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.