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Finding the Third Proportional to 315,541.69 and 694,167.19

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Solution

The third proportional to 315,541.69 and 694,167.19 is: 1,527,113.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,541.69 : 694,167.19 = 694,167.19 : x
  2. Step 2: Convert to fraction form
    315,541.69/694,167.19 = 694,167.19/x
  3. Step 3: Cross multiply
    315,541.69x = 694,167.19 × 694,167.19
  4. Step 4: Simplify right side
    315,541.69x = 481,868,084,201.66
  5. Step 5: Solve for x
    x = 481,868,084,201.66/315,541.69
  6. Step 6: Final answer
    x = 1,527,113.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.