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Finding the Third Proportional to 207,704 and 311,209

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Solution

The third proportional to 207,704 and 311,209 is: 466,293.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,704 : 311,209 = 311,209 : x
  2. Step 2: Convert to fraction form
    207,704/311,209 = 311,209/x
  3. Step 3: Cross multiply
    207,704x = 311,209 × 311,209
  4. Step 4: Simplify right side
    207,704x = 96,851,041,681
  5. Step 5: Solve for x
    x = 96,851,041,681/207,704
  6. Step 6: Final answer
    x = 466,293.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.