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Finding the Third Proportional to 71,115 and 164,629.50

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Solution

The third proportional to 71,115 and 164,629.50 is: 381,113.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,115 : 164,629.50 = 164,629.50 : x
  2. Step 2: Convert to fraction form
    71,115/164,629.50 = 164,629.50/x
  3. Step 3: Cross multiply
    71,115x = 164,629.50 × 164,629.50
  4. Step 4: Simplify right side
    71,115x = 27,102,872,270.25
  5. Step 5: Solve for x
    x = 27,102,872,270.25/71,115
  6. Step 6: Final answer
    x = 381,113.30

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.