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Finding the Third Proportional to 204,910 and 316,453

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Solution

The third proportional to 204,910 and 316,453 is: 488,714.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,910 : 316,453 = 316,453 : x
  2. Step 2: Convert to fraction form
    204,910/316,453 = 316,453/x
  3. Step 3: Cross multiply
    204,910x = 316,453 × 316,453
  4. Step 4: Simplify right side
    204,910x = 100,142,501,209
  5. Step 5: Solve for x
    x = 100,142,501,209/204,910
  6. Step 6: Final answer
    x = 488,714.56

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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.