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Finding the Third Proportional to 311,160 and 669,615

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Solution

The third proportional to 311,160 and 669,615 is: 1,441,008.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,160 : 669,615 = 669,615 : x
  2. Step 2: Convert to fraction form
    311,160/669,615 = 669,615/x
  3. Step 3: Cross multiply
    311,160x = 669,615 × 669,615
  4. Step 4: Simplify right side
    311,160x = 448,384,248,225
  5. Step 5: Solve for x
    x = 448,384,248,225/311,160
  6. Step 6: Final answer
    x = 1,441,008.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.