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Finding the Third Proportional to 385,830 and 801,228

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Solution

The third proportional to 385,830 and 801,228 is: 1,663,857.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,830 : 801,228 = 801,228 : x
  2. Step 2: Convert to fraction form
    385,830/801,228 = 801,228/x
  3. Step 3: Cross multiply
    385,830x = 801,228 × 801,228
  4. Step 4: Simplify right side
    385,830x = 641,966,307,984
  5. Step 5: Solve for x
    x = 641,966,307,984/385,830
  6. Step 6: Final answer
    x = 1,663,857.94

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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.