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Finding the Third Proportional to 206,419.50 and 314,965.69

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Solution

The third proportional to 206,419.50 and 314,965.69 is: 480,591.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,419.50 : 314,965.69 = 314,965.69 : x
  2. Step 2: Convert to fraction form
    206,419.50/314,965.69 = 314,965.69/x
  3. Step 3: Cross multiply
    206,419.50x = 314,965.69 × 314,965.69
  4. Step 4: Simplify right side
    206,419.50x = 99,203,384,302.35
  5. Step 5: Solve for x
    x = 99,203,384,302.35/206,419.50
  6. Step 6: Final answer
    x = 480,591.15

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.