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Finding the Third Proportional to 205,595.72 and 316,418.91

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Solution

The third proportional to 205,595.72 and 316,418.91 is: 486,979.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,595.72 : 316,418.91 = 316,418.91 : x
  2. Step 2: Convert to fraction form
    205,595.72/316,418.91 = 316,418.91/x
  3. Step 3: Cross multiply
    205,595.72x = 316,418.91 × 316,418.91
  4. Step 4: Simplify right side
    205,595.72x = 100,120,924,232.45
  5. Step 5: Solve for x
    x = 100,120,924,232.45/205,595.72
  6. Step 6: Final answer
    x = 486,979.62

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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.