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Finding the Third Proportional to 385,826 and 801,220

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Solution

The third proportional to 385,826 and 801,220 is: 1,663,841.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,826 : 801,220 = 801,220 : x
  2. Step 2: Convert to fraction form
    385,826/801,220 = 801,220/x
  3. Step 3: Cross multiply
    385,826x = 801,220 × 801,220
  4. Step 4: Simplify right side
    385,826x = 641,953,488,400
  5. Step 5: Solve for x
    x = 641,953,488,400/385,826
  6. Step 6: Final answer
    x = 1,663,841.96

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.