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Finding the Third Proportional to 15,129 and 35,156.25

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Solution

The third proportional to 15,129 and 35,156.25 is: 81,694.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,129 : 35,156.25 = 35,156.25 : x
  2. Step 2: Convert to fraction form
    15,129/35,156.25 = 35,156.25/x
  3. Step 3: Cross multiply
    15,129x = 35,156.25 × 35,156.25
  4. Step 4: Simplify right side
    15,129x = 1,235,961,914.06
  5. Step 5: Solve for x
    x = 1,235,961,914.06/15,129
  6. Step 6: Final answer
    x = 81,694.88

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.