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Finding the Third Proportional to 204,909.50 and 316,452.50

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Solution

The third proportional to 204,909.50 and 316,452.50 is: 488,714.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,909.50 : 316,452.50 = 316,452.50 : x
  2. Step 2: Convert to fraction form
    204,909.50/316,452.50 = 316,452.50/x
  3. Step 3: Cross multiply
    204,909.50x = 316,452.50 × 316,452.50
  4. Step 4: Simplify right side
    204,909.50x = 100,142,184,756.25
  5. Step 5: Solve for x
    x = 100,142,184,756.25/204,909.50
  6. Step 6: Final answer
    x = 488,714.21

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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.