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Finding the Third Proportional to 68,312 and 140,026

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Solution

The third proportional to 68,312 and 140,026 is: 287,025.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,312 : 140,026 = 140,026 : x
  2. Step 2: Convert to fraction form
    68,312/140,026 = 140,026/x
  3. Step 3: Cross multiply
    68,312x = 140,026 × 140,026
  4. Step 4: Simplify right side
    68,312x = 19,607,280,676
  5. Step 5: Solve for x
    x = 19,607,280,676/68,312
  6. Step 6: Final answer
    x = 287,025.42

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.