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Finding the Third Proportional to 205,689.38 and 317,859.19

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Solution

The third proportional to 205,689.38 and 317,859.19 is: 491,199.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,689.38 : 317,859.19 = 317,859.19 : x
  2. Step 2: Convert to fraction form
    205,689.38/317,859.19 = 317,859.19/x
  3. Step 3: Cross multiply
    205,689.38x = 317,859.19 × 317,859.19
  4. Step 4: Simplify right side
    205,689.38x = 101,034,463,078.16
  5. Step 5: Solve for x
    x = 101,034,463,078.16/205,689.38
  6. Step 6: Final answer
    x = 491,199.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.