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Finding the Third Proportional to 204,904 and 316,444

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Solution

The third proportional to 204,904 and 316,444 is: 488,701.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,904 : 316,444 = 316,444 : x
  2. Step 2: Convert to fraction form
    204,904/316,444 = 316,444/x
  3. Step 3: Cross multiply
    204,904x = 316,444 × 316,444
  4. Step 4: Simplify right side
    204,904x = 100,136,805,136
  5. Step 5: Solve for x
    x = 100,136,805,136/204,904
  6. Step 6: Final answer
    x = 488,701.08

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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.