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Finding the Third Proportional to 86,148 and 126,684

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Solution

The third proportional to 86,148 and 126,684 is: 186,293.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,148 : 126,684 = 126,684 : x
  2. Step 2: Convert to fraction form
    86,148/126,684 = 126,684/x
  3. Step 3: Cross multiply
    86,148x = 126,684 × 126,684
  4. Step 4: Simplify right side
    86,148x = 16,048,835,856
  5. Step 5: Solve for x
    x = 16,048,835,856/86,148
  6. Step 6: Final answer
    x = 186,293.77

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.