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Finding the Third Proportional to 207,825 and 315,018

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Solution

The third proportional to 207,825 and 315,018 is: 477,499.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,825 : 315,018 = 315,018 : x
  2. Step 2: Convert to fraction form
    207,825/315,018 = 315,018/x
  3. Step 3: Cross multiply
    207,825x = 315,018 × 315,018
  4. Step 4: Simplify right side
    207,825x = 99,236,340,324
  5. Step 5: Solve for x
    x = 99,236,340,324/207,825
  6. Step 6: Final answer
    x = 477,499.53

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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.