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Finding the Third Proportional to 86,270 and 131,709

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Solution

The third proportional to 86,270 and 131,709 is: 201,081.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,270 : 131,709 = 131,709 : x
  2. Step 2: Convert to fraction form
    86,270/131,709 = 131,709/x
  3. Step 3: Cross multiply
    86,270x = 131,709 × 131,709
  4. Step 4: Simplify right side
    86,270x = 17,347,260,681
  5. Step 5: Solve for x
    x = 17,347,260,681/86,270
  6. Step 6: Final answer
    x = 201,081.03

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.