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Finding the Third Proportional to 400,080 and 868,852

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Solution

The third proportional to 400,080 and 868,852 is: 1,886,882.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,080 : 868,852 = 868,852 : x
  2. Step 2: Convert to fraction form
    400,080/868,852 = 868,852/x
  3. Step 3: Cross multiply
    400,080x = 868,852 × 868,852
  4. Step 4: Simplify right side
    400,080x = 754,903,797,904
  5. Step 5: Solve for x
    x = 754,903,797,904/400,080
  6. Step 6: Final answer
    x = 1,886,882.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.