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Finding the Third Proportional to 86,138.75 and 136,704.59

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Solution

The third proportional to 86,138.75 and 136,704.59 is: 216,953.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,138.75 : 136,704.59 = 136,704.59 : x
  2. Step 2: Convert to fraction form
    86,138.75/136,704.59 = 136,704.59/x
  3. Step 3: Cross multiply
    86,138.75x = 136,704.59 × 136,704.59
  4. Step 4: Simplify right side
    86,138.75x = 18,688,143,816.34
  5. Step 5: Solve for x
    x = 18,688,143,816.34/86,138.75
  6. Step 6: Final answer
    x = 216,953.96

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.