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Finding the Third Proportional to 207,885 and 313,708.50

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Solution

The third proportional to 207,885 and 313,708.50 is: 473,401.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,885 : 313,708.50 = 313,708.50 : x
  2. Step 2: Convert to fraction form
    207,885/313,708.50 = 313,708.50/x
  3. Step 3: Cross multiply
    207,885x = 313,708.50 × 313,708.50
  4. Step 4: Simplify right side
    207,885x = 98,413,022,972.25
  5. Step 5: Solve for x
    x = 98,413,022,972.25/207,885
  6. Step 6: Final answer
    x = 473,401.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.