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Finding the Third Proportional to 311,354 and 680,391

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Solution

The third proportional to 311,354 and 680,391 is: 1,486,834.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,354 : 680,391 = 680,391 : x
  2. Step 2: Convert to fraction form
    311,354/680,391 = 680,391/x
  3. Step 3: Cross multiply
    311,354x = 680,391 × 680,391
  4. Step 4: Simplify right side
    311,354x = 462,931,912,881
  5. Step 5: Solve for x
    x = 462,931,912,881/311,354
  6. Step 6: Final answer
    x = 1,486,834.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.