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Finding the Third Proportional to 311,980.50 and 665,433

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Solution

The third proportional to 311,980.50 and 665,433 is: 1,419,322.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,980.50 : 665,433 = 665,433 : x
  2. Step 2: Convert to fraction form
    311,980.50/665,433 = 665,433/x
  3. Step 3: Cross multiply
    311,980.50x = 665,433 × 665,433
  4. Step 4: Simplify right side
    311,980.50x = 442,801,077,489
  5. Step 5: Solve for x
    x = 442,801,077,489/311,980.50
  6. Step 6: Final answer
    x = 1,419,322.93

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.