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Finding the Third Proportional to 351,870 and 829,815

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Solution

The third proportional to 351,870 and 829,815 is: 1,956,952.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,870 : 829,815 = 829,815 : x
  2. Step 2: Convert to fraction form
    351,870/829,815 = 829,815/x
  3. Step 3: Cross multiply
    351,870x = 829,815 × 829,815
  4. Step 4: Simplify right side
    351,870x = 688,592,934,225
  5. Step 5: Solve for x
    x = 688,592,934,225/351,870
  6. Step 6: Final answer
    x = 1,956,952.66

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.