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Finding the Third Proportional to 80,253 and 107,365.50

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Solution

The third proportional to 80,253 and 107,365.50 is: 143,637.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,253 : 107,365.50 = 107,365.50 : x
  2. Step 2: Convert to fraction form
    80,253/107,365.50 = 107,365.50/x
  3. Step 3: Cross multiply
    80,253x = 107,365.50 × 107,365.50
  4. Step 4: Simplify right side
    80,253x = 11,527,350,590.25
  5. Step 5: Solve for x
    x = 11,527,350,590.25/80,253
  6. Step 6: Final answer
    x = 143,637.63

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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.