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Finding the Third Proportional to 91,710 and 136,719

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Solution

The third proportional to 91,710 and 136,719 is: 203,817.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,710 : 136,719 = 136,719 : x
  2. Step 2: Convert to fraction form
    91,710/136,719 = 136,719/x
  3. Step 3: Cross multiply
    91,710x = 136,719 × 136,719
  4. Step 4: Simplify right side
    91,710x = 18,692,084,961
  5. Step 5: Solve for x
    x = 18,692,084,961/91,710
  6. Step 6: Final answer
    x = 203,817.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.