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Finding the Third Proportional to 311,710 and 676,556

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Solution

The third proportional to 311,710 and 676,556 is: 1,468,441.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,710 : 676,556 = 676,556 : x
  2. Step 2: Convert to fraction form
    311,710/676,556 = 676,556/x
  3. Step 3: Cross multiply
    311,710x = 676,556 × 676,556
  4. Step 4: Simplify right side
    311,710x = 457,728,021,136
  5. Step 5: Solve for x
    x = 457,728,021,136/311,710
  6. Step 6: Final answer
    x = 1,468,441.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.