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Finding the Third Proportional to 86,984 and 134,685

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Solution

The third proportional to 86,984 and 134,685 is: 208,544.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,984 : 134,685 = 134,685 : x
  2. Step 2: Convert to fraction form
    86,984/134,685 = 134,685/x
  3. Step 3: Cross multiply
    86,984x = 134,685 × 134,685
  4. Step 4: Simplify right side
    86,984x = 18,140,049,225
  5. Step 5: Solve for x
    x = 18,140,049,225/86,984
  6. Step 6: Final answer
    x = 208,544.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.