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Finding the Third Proportional to 68,426 and 142,228

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Solution

The third proportional to 68,426 and 142,228 is: 295,630.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,426 : 142,228 = 142,228 : x
  2. Step 2: Convert to fraction form
    68,426/142,228 = 142,228/x
  3. Step 3: Cross multiply
    68,426x = 142,228 × 142,228
  4. Step 4: Simplify right side
    68,426x = 20,228,803,984
  5. Step 5: Solve for x
    x = 20,228,803,984/68,426
  6. Step 6: Final answer
    x = 295,630.37

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.