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Finding the Third Proportional to 311,882 and 465,747

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Solution

The third proportional to 311,882 and 465,747 is: 695,520.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,882 : 465,747 = 465,747 : x
  2. Step 2: Convert to fraction form
    311,882/465,747 = 465,747/x
  3. Step 3: Cross multiply
    311,882x = 465,747 × 465,747
  4. Step 4: Simplify right side
    311,882x = 216,920,268,009
  5. Step 5: Solve for x
    x = 216,920,268,009/311,882
  6. Step 6: Final answer
    x = 695,520.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.