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Finding the Third Proportional to 205,768 and 316,720

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Solution

The third proportional to 205,768 and 316,720 is: 487,498.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,768 : 316,720 = 316,720 : x
  2. Step 2: Convert to fraction form
    205,768/316,720 = 316,720/x
  3. Step 3: Cross multiply
    205,768x = 316,720 × 316,720
  4. Step 4: Simplify right side
    205,768x = 100,311,558,400
  5. Step 5: Solve for x
    x = 100,311,558,400/205,768
  6. Step 6: Final answer
    x = 487,498.34

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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.