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Finding the Third Proportional to 105,714 and 161,918

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Solution

The third proportional to 105,714 and 161,918 is: 248,003.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,714 : 161,918 = 161,918 : x
  2. Step 2: Convert to fraction form
    105,714/161,918 = 161,918/x
  3. Step 3: Cross multiply
    105,714x = 161,918 × 161,918
  4. Step 4: Simplify right side
    105,714x = 26,217,438,724
  5. Step 5: Solve for x
    x = 26,217,438,724/105,714
  6. Step 6: Final answer
    x = 248,003.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.