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Finding the Third Proportional to 133,528 and 206,684

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Solution

The third proportional to 133,528 and 206,684 is: 319,919.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,528 : 206,684 = 206,684 : x
  2. Step 2: Convert to fraction form
    133,528/206,684 = 206,684/x
  3. Step 3: Cross multiply
    133,528x = 206,684 × 206,684
  4. Step 4: Simplify right side
    133,528x = 42,718,275,856
  5. Step 5: Solve for x
    x = 42,718,275,856/133,528
  6. Step 6: Final answer
    x = 319,919.99

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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.