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Finding the Third Proportional to 86,510 and 126,417

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Solution

The third proportional to 86,510 and 126,417 is: 184,733.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,510 : 126,417 = 126,417 : x
  2. Step 2: Convert to fraction form
    86,510/126,417 = 126,417/x
  3. Step 3: Cross multiply
    86,510x = 126,417 × 126,417
  4. Step 4: Simplify right side
    86,510x = 15,981,257,889
  5. Step 5: Solve for x
    x = 15,981,257,889/86,510
  6. Step 6: Final answer
    x = 184,733.07

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.