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Finding the Third Proportional to 400,090 and 868,868

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Solution

The third proportional to 400,090 and 868,868 is: 1,886,904.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,090 : 868,868 = 868,868 : x
  2. Step 2: Convert to fraction form
    400,090/868,868 = 868,868/x
  3. Step 3: Cross multiply
    400,090x = 868,868 × 868,868
  4. Step 4: Simplify right side
    400,090x = 754,931,601,424
  5. Step 5: Solve for x
    x = 754,931,601,424/400,090
  6. Step 6: Final answer
    x = 1,886,904.45

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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.