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Finding the Third Proportional to 133,866 and 278,830

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Solution

The third proportional to 133,866 and 278,830 is: 580,776.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,866 : 278,830 = 278,830 : x
  2. Step 2: Convert to fraction form
    133,866/278,830 = 278,830/x
  3. Step 3: Cross multiply
    133,866x = 278,830 × 278,830
  4. Step 4: Simplify right side
    133,866x = 77,746,168,900
  5. Step 5: Solve for x
    x = 77,746,168,900/133,866
  6. Step 6: Final answer
    x = 580,776.07

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.