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Finding the Third Proportional to 65,601.38 and 135,870.38

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Solution

The third proportional to 65,601.38 and 135,870.38 is: 281,408.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,601.38 : 135,870.38 = 135,870.38 : x
  2. Step 2: Convert to fraction form
    65,601.38/135,870.38 = 135,870.38/x
  3. Step 3: Cross multiply
    65,601.38x = 135,870.38 × 135,870.38
  4. Step 4: Simplify right side
    65,601.38x = 18,460,758,802.64
  5. Step 5: Solve for x
    x = 18,460,758,802.64/65,601.38
  6. Step 6: Final answer
    x = 281,408.11

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.