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Finding the Third Proportional to 112,662 and 239,148

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Solution

The third proportional to 112,662 and 239,148 is: 507,640.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,662 : 239,148 = 239,148 : x
  2. Step 2: Convert to fraction form
    112,662/239,148 = 239,148/x
  3. Step 3: Cross multiply
    112,662x = 239,148 × 239,148
  4. Step 4: Simplify right side
    112,662x = 57,191,765,904
  5. Step 5: Solve for x
    x = 57,191,765,904/112,662
  6. Step 6: Final answer
    x = 507,640.25

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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.