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Finding the Third Proportional to 204,030 and 316,689

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Solution

The third proportional to 204,030 and 316,689 is: 491,554.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,030 : 316,689 = 316,689 : x
  2. Step 2: Convert to fraction form
    204,030/316,689 = 316,689/x
  3. Step 3: Cross multiply
    204,030x = 316,689 × 316,689
  4. Step 4: Simplify right side
    204,030x = 100,291,922,721
  5. Step 5: Solve for x
    x = 100,291,922,721/204,030
  6. Step 6: Final answer
    x = 491,554.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.