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Finding the Third Proportional to 131,753.50 and 310,910.50

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Solution

The third proportional to 131,753.50 and 310,910.50 is: 733,683.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,753.50 : 310,910.50 = 310,910.50 : x
  2. Step 2: Convert to fraction form
    131,753.50/310,910.50 = 310,910.50/x
  3. Step 3: Cross multiply
    131,753.50x = 310,910.50 × 310,910.50
  4. Step 4: Simplify right side
    131,753.50x = 96,665,339,010.25
  5. Step 5: Solve for x
    x = 96,665,339,010.25/131,753.50
  6. Step 6: Final answer
    x = 733,683.27

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.