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Finding the Third Proportional to 70,138 and 98,655

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Solution

The third proportional to 70,138 and 98,655 is: 138,766.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,138 : 98,655 = 98,655 : x
  2. Step 2: Convert to fraction form
    70,138/98,655 = 98,655/x
  3. Step 3: Cross multiply
    70,138x = 98,655 × 98,655
  4. Step 4: Simplify right side
    70,138x = 9,732,809,025
  5. Step 5: Solve for x
    x = 9,732,809,025/70,138
  6. Step 6: Final answer
    x = 138,766.56

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.