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Finding the Third Proportional to 207,420.75 and 314,847

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Solution

The third proportional to 207,420.75 and 314,847 is: 477,910.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,420.75 : 314,847 = 314,847 : x
  2. Step 2: Convert to fraction form
    207,420.75/314,847 = 314,847/x
  3. Step 3: Cross multiply
    207,420.75x = 314,847 × 314,847
  4. Step 4: Simplify right side
    207,420.75x = 99,128,633,409
  5. Step 5: Solve for x
    x = 99,128,633,409/207,420.75
  6. Step 6: Final answer
    x = 477,910.88

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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.