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Finding the Third Proportional to 68,513 and 102,489

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Solution

The third proportional to 68,513 and 102,489 is: 153,313.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,513 : 102,489 = 102,489 : x
  2. Step 2: Convert to fraction form
    68,513/102,489 = 102,489/x
  3. Step 3: Cross multiply
    68,513x = 102,489 × 102,489
  4. Step 4: Simplify right side
    68,513x = 10,503,995,121
  5. Step 5: Solve for x
    x = 10,503,995,121/68,513
  6. Step 6: Final answer
    x = 153,313.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.