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Finding the Third Proportional to 131,670 and 256,770

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Solution

The third proportional to 131,670 and 256,770 is: 500,727.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,670 : 256,770 = 256,770 : x
  2. Step 2: Convert to fraction form
    131,670/256,770 = 256,770/x
  3. Step 3: Cross multiply
    131,670x = 256,770 × 256,770
  4. Step 4: Simplify right side
    131,670x = 65,930,832,900
  5. Step 5: Solve for x
    x = 65,930,832,900/131,670
  6. Step 6: Final answer
    x = 500,727.83

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.