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Finding the Third Proportional to 397,246.78 and 868,297.22

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Solution

The third proportional to 397,246.78 and 868,297.22 is: 1,897,913.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,246.78 : 868,297.22 = 868,297.22 : x
  2. Step 2: Convert to fraction form
    397,246.78/868,297.22 = 868,297.22/x
  3. Step 3: Cross multiply
    397,246.78x = 868,297.22 × 868,297.22
  4. Step 4: Simplify right side
    397,246.78x = 753,940,060,088.99
  5. Step 5: Solve for x
    x = 753,940,060,088.99/397,246.78
  6. Step 6: Final answer
    x = 1,897,913.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.