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Finding the Third Proportional to 103,863 and 162,721

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Solution

The third proportional to 103,863 and 162,721 is: 254,933.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,863 : 162,721 = 162,721 : x
  2. Step 2: Convert to fraction form
    103,863/162,721 = 162,721/x
  3. Step 3: Cross multiply
    103,863x = 162,721 × 162,721
  4. Step 4: Simplify right side
    103,863x = 26,478,123,841
  5. Step 5: Solve for x
    x = 26,478,123,841/103,863
  6. Step 6: Final answer
    x = 254,933.17

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.