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Finding the Third Proportional to 311,557 and 677,789

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Solution

The third proportional to 311,557 and 677,789 is: 1,474,522.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,557 : 677,789 = 677,789 : x
  2. Step 2: Convert to fraction form
    311,557/677,789 = 677,789/x
  3. Step 3: Cross multiply
    311,557x = 677,789 × 677,789
  4. Step 4: Simplify right side
    311,557x = 459,397,928,521
  5. Step 5: Solve for x
    x = 459,397,928,521/311,557
  6. Step 6: Final answer
    x = 1,474,522.89

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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.