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Finding the Third Proportional to 205,814 and 316,922

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Solution

The third proportional to 205,814 and 316,922 is: 488,011.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,814 : 316,922 = 316,922 : x
  2. Step 2: Convert to fraction form
    205,814/316,922 = 316,922/x
  3. Step 3: Cross multiply
    205,814x = 316,922 × 316,922
  4. Step 4: Simplify right side
    205,814x = 100,439,554,084
  5. Step 5: Solve for x
    x = 100,439,554,084/205,814
  6. Step 6: Final answer
    x = 488,011.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.