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Finding the Third Proportional to 112,656 and 239,144

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Solution

The third proportional to 112,656 and 239,144 is: 507,650.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,656 : 239,144 = 239,144 : x
  2. Step 2: Convert to fraction form
    112,656/239,144 = 239,144/x
  3. Step 3: Cross multiply
    112,656x = 239,144 × 239,144
  4. Step 4: Simplify right side
    112,656x = 57,189,852,736
  5. Step 5: Solve for x
    x = 57,189,852,736/112,656
  6. Step 6: Final answer
    x = 507,650.30

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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.