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Finding the Third Proportional to 81,910.50 and 110,070

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Solution

The third proportional to 81,910.50 and 110,070 is: 147,910.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,910.50 : 110,070 = 110,070 : x
  2. Step 2: Convert to fraction form
    81,910.50/110,070 = 110,070/x
  3. Step 3: Cross multiply
    81,910.50x = 110,070 × 110,070
  4. Step 4: Simplify right side
    81,910.50x = 12,115,404,900
  5. Step 5: Solve for x
    x = 12,115,404,900/81,910.50
  6. Step 6: Final answer
    x = 147,910.28

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.