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Finding the Third Proportional to 86,726 and 189,328

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Solution

The third proportional to 86,726 and 189,328 is: 413,314.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,726 : 189,328 = 189,328 : x
  2. Step 2: Convert to fraction form
    86,726/189,328 = 189,328/x
  3. Step 3: Cross multiply
    86,726x = 189,328 × 189,328
  4. Step 4: Simplify right side
    86,726x = 35,845,091,584
  5. Step 5: Solve for x
    x = 35,845,091,584/86,726
  6. Step 6: Final answer
    x = 413,314.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.