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Finding the Third Proportional to 68,900 and 145,999

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Solution

The third proportional to 68,900 and 145,999 is: 309,371.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,900 : 145,999 = 145,999 : x
  2. Step 2: Convert to fraction form
    68,900/145,999 = 145,999/x
  3. Step 3: Cross multiply
    68,900x = 145,999 × 145,999
  4. Step 4: Simplify right side
    68,900x = 21,315,708,001
  5. Step 5: Solve for x
    x = 21,315,708,001/68,900
  6. Step 6: Final answer
    x = 309,371.67

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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.