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Finding the Third Proportional to 68,267 and 141,985

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Solution

The third proportional to 68,267 and 141,985 is: 295,307.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,267 : 141,985 = 141,985 : x
  2. Step 2: Convert to fraction form
    68,267/141,985 = 141,985/x
  3. Step 3: Cross multiply
    68,267x = 141,985 × 141,985
  4. Step 4: Simplify right side
    68,267x = 20,159,740,225
  5. Step 5: Solve for x
    x = 20,159,740,225/68,267
  6. Step 6: Final answer
    x = 295,307.25

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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.