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Finding the Third Proportional to 140,008.50 and 207,816.75

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Solution

The third proportional to 140,008.50 and 207,816.75 is: 308,465.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,008.50 : 207,816.75 = 207,816.75 : x
  2. Step 2: Convert to fraction form
    140,008.50/207,816.75 = 207,816.75/x
  3. Step 3: Cross multiply
    140,008.50x = 207,816.75 × 207,816.75
  4. Step 4: Simplify right side
    140,008.50x = 43,187,801,580.56
  5. Step 5: Solve for x
    x = 43,187,801,580.56/140,008.50
  6. Step 6: Final answer
    x = 308,465.57

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.