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Finding the Third Proportional to 55,786 and 119,902

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Solution

The third proportional to 55,786 and 119,902 is: 257,707.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,786 : 119,902 = 119,902 : x
  2. Step 2: Convert to fraction form
    55,786/119,902 = 119,902/x
  3. Step 3: Cross multiply
    55,786x = 119,902 × 119,902
  4. Step 4: Simplify right side
    55,786x = 14,376,489,604
  5. Step 5: Solve for x
    x = 14,376,489,604/55,786
  6. Step 6: Final answer
    x = 257,707.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.