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Finding the Third Proportional to 103,686 and 160,857

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Solution

The third proportional to 103,686 and 160,857 is: 249,551.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,686 : 160,857 = 160,857 : x
  2. Step 2: Convert to fraction form
    103,686/160,857 = 160,857/x
  3. Step 3: Cross multiply
    103,686x = 160,857 × 160,857
  4. Step 4: Simplify right side
    103,686x = 25,874,974,449
  5. Step 5: Solve for x
    x = 25,874,974,449/103,686
  6. Step 6: Final answer
    x = 249,551.28

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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.