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Finding the Third Proportional to 103,696 and 140,710

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Solution

The third proportional to 103,696 and 140,710 is: 190,936.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,696 : 140,710 = 140,710 : x
  2. Step 2: Convert to fraction form
    103,696/140,710 = 140,710/x
  3. Step 3: Cross multiply
    103,696x = 140,710 × 140,710
  4. Step 4: Simplify right side
    103,696x = 19,799,304,100
  5. Step 5: Solve for x
    x = 19,799,304,100/103,696
  6. Step 6: Final answer
    x = 190,936.04

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.