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Finding the Third Proportional to 311,262 and 663,996

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Solution

The third proportional to 311,262 and 663,996 is: 1,416,461.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,262 : 663,996 = 663,996 : x
  2. Step 2: Convert to fraction form
    311,262/663,996 = 663,996/x
  3. Step 3: Cross multiply
    311,262x = 663,996 × 663,996
  4. Step 4: Simplify right side
    311,262x = 440,890,688,016
  5. Step 5: Solve for x
    x = 440,890,688,016/311,262
  6. Step 6: Final answer
    x = 1,416,461.66

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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.