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Finding the Third Proportional to 103,781 and 161,022

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Solution

The third proportional to 103,781 and 161,022 is: 249,834.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,781 : 161,022 = 161,022 : x
  2. Step 2: Convert to fraction form
    103,781/161,022 = 161,022/x
  3. Step 3: Cross multiply
    103,781x = 161,022 × 161,022
  4. Step 4: Simplify right side
    103,781x = 25,928,084,484
  5. Step 5: Solve for x
    x = 25,928,084,484/103,781
  6. Step 6: Final answer
    x = 249,834.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.