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Finding the Third Proportional to 207,900.50 and 316,224.75

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Solution

The third proportional to 207,900.50 and 316,224.75 is: 480,990.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,900.50 : 316,224.75 = 316,224.75 : x
  2. Step 2: Convert to fraction form
    207,900.50/316,224.75 = 316,224.75/x
  3. Step 3: Cross multiply
    207,900.50x = 316,224.75 × 316,224.75
  4. Step 4: Simplify right side
    207,900.50x = 99,998,092,512.56
  5. Step 5: Solve for x
    x = 99,998,092,512.56/207,900.50
  6. Step 6: Final answer
    x = 480,990.15

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.