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Finding the Third Proportional to 68,140 and 102,824.25

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Solution

The third proportional to 68,140 and 102,824.25 is: 155,163.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,140 : 102,824.25 = 102,824.25 : x
  2. Step 2: Convert to fraction form
    68,140/102,824.25 = 102,824.25/x
  3. Step 3: Cross multiply
    68,140x = 102,824.25 × 102,824.25
  4. Step 4: Simplify right side
    68,140x = 10,572,826,388.06
  5. Step 5: Solve for x
    x = 10,572,826,388.06/68,140
  6. Step 6: Final answer
    x = 155,163.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.