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Finding the Third Proportional to 64,638 and 142,236

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Solution

The third proportional to 64,638 and 142,236 is: 312,990.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,638 : 142,236 = 142,236 : x
  2. Step 2: Convert to fraction form
    64,638/142,236 = 142,236/x
  3. Step 3: Cross multiply
    64,638x = 142,236 × 142,236
  4. Step 4: Simplify right side
    64,638x = 20,231,079,696
  5. Step 5: Solve for x
    x = 20,231,079,696/64,638
  6. Step 6: Final answer
    x = 312,990.50

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.