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Finding the Third Proportional to 311,076 and 677,463

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Solution

The third proportional to 311,076 and 677,463 is: 1,475,382.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,076 : 677,463 = 677,463 : x
  2. Step 2: Convert to fraction form
    311,076/677,463 = 677,463/x
  3. Step 3: Cross multiply
    311,076x = 677,463 × 677,463
  4. Step 4: Simplify right side
    311,076x = 458,956,116,369
  5. Step 5: Solve for x
    x = 458,956,116,369/311,076
  6. Step 6: Final answer
    x = 1,475,382.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.