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Finding the Third Proportional to 86,395.50 and 135,237

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Solution

The third proportional to 86,395.50 and 135,237 is: 211,689.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,395.50 : 135,237 = 135,237 : x
  2. Step 2: Convert to fraction form
    86,395.50/135,237 = 135,237/x
  3. Step 3: Cross multiply
    86,395.50x = 135,237 × 135,237
  4. Step 4: Simplify right side
    86,395.50x = 18,289,046,169
  5. Step 5: Solve for x
    x = 18,289,046,169/86,395.50
  6. Step 6: Final answer
    x = 211,689.80

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.