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Finding the Third Proportional to 311,784 and 673,320

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Solution

The third proportional to 311,784 and 673,320 is: 1,454,083.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,784 : 673,320 = 673,320 : x
  2. Step 2: Convert to fraction form
    311,784/673,320 = 673,320/x
  3. Step 3: Cross multiply
    311,784x = 673,320 × 673,320
  4. Step 4: Simplify right side
    311,784x = 453,359,822,400
  5. Step 5: Solve for x
    x = 453,359,822,400/311,784
  6. Step 6: Final answer
    x = 1,454,083.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.