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Finding the Third Proportional to 391,121 and 824,277

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Solution

The third proportional to 391,121 and 824,277 is: 1,737,141.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,121 : 824,277 = 824,277 : x
  2. Step 2: Convert to fraction form
    391,121/824,277 = 824,277/x
  3. Step 3: Cross multiply
    391,121x = 824,277 × 824,277
  4. Step 4: Simplify right side
    391,121x = 679,432,572,729
  5. Step 5: Solve for x
    x = 679,432,572,729/391,121
  6. Step 6: Final answer
    x = 1,737,141.63

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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.