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Finding the Third Proportional to 391,222 and 824,477

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Solution

The third proportional to 391,222 and 824,477 is: 1,737,536.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,222 : 824,477 = 824,477 : x
  2. Step 2: Convert to fraction form
    391,222/824,477 = 824,477/x
  3. Step 3: Cross multiply
    391,222x = 824,477 × 824,477
  4. Step 4: Simplify right side
    391,222x = 679,762,323,529
  5. Step 5: Solve for x
    x = 679,762,323,529/391,222
  6. Step 6: Final answer
    x = 1,737,536.04

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.