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Finding the Third Proportional to 400,902 and 864,006

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Solution

The third proportional to 400,902 and 864,006 is: 1,862,066.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,902 : 864,006 = 864,006 : x
  2. Step 2: Convert to fraction form
    400,902/864,006 = 864,006/x
  3. Step 3: Cross multiply
    400,902x = 864,006 × 864,006
  4. Step 4: Simplify right side
    400,902x = 746,506,368,036
  5. Step 5: Solve for x
    x = 746,506,368,036/400,902
  6. Step 6: Final answer
    x = 1,862,066.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.