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Finding the Third Proportional to 385,852 and 801,272

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Solution

The third proportional to 385,852 and 801,272 is: 1,663,945.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,852 : 801,272 = 801,272 : x
  2. Step 2: Convert to fraction form
    385,852/801,272 = 801,272/x
  3. Step 3: Cross multiply
    385,852x = 801,272 × 801,272
  4. Step 4: Simplify right side
    385,852x = 642,036,817,984
  5. Step 5: Solve for x
    x = 642,036,817,984/385,852
  6. Step 6: Final answer
    x = 1,663,945.81

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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.