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Finding the Third Proportional to 133,481 and 206,612

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Solution

The third proportional to 133,481 and 206,612 is: 319,809.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,481 : 206,612 = 206,612 : x
  2. Step 2: Convert to fraction form
    133,481/206,612 = 206,612/x
  3. Step 3: Cross multiply
    133,481x = 206,612 × 206,612
  4. Step 4: Simplify right side
    133,481x = 42,688,518,544
  5. Step 5: Solve for x
    x = 42,688,518,544/133,481
  6. Step 6: Final answer
    x = 319,809.70

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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.