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Finding the Third Proportional to 311,765 and 669,862

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Solution

The third proportional to 311,765 and 669,862 is: 1,439,273.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,765 : 669,862 = 669,862 : x
  2. Step 2: Convert to fraction form
    311,765/669,862 = 669,862/x
  3. Step 3: Cross multiply
    311,765x = 669,862 × 669,862
  4. Step 4: Simplify right side
    311,765x = 448,715,099,044
  5. Step 5: Solve for x
    x = 448,715,099,044/311,765
  6. Step 6: Final answer
    x = 1,439,273.49

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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.