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Finding the Third Proportional to 86,627 and 186,646

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Solution

The third proportional to 86,627 and 186,646 is: 402,146.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,627 : 186,646 = 186,646 : x
  2. Step 2: Convert to fraction form
    86,627/186,646 = 186,646/x
  3. Step 3: Cross multiply
    86,627x = 186,646 × 186,646
  4. Step 4: Simplify right side
    86,627x = 34,836,729,316
  5. Step 5: Solve for x
    x = 34,836,729,316/86,627
  6. Step 6: Final answer
    x = 402,146.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.