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Finding the Third Proportional to 86,643 and 186,178

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Solution

The third proportional to 86,643 and 186,178 is: 400,058.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,643 : 186,178 = 186,178 : x
  2. Step 2: Convert to fraction form
    86,643/186,178 = 186,178/x
  3. Step 3: Cross multiply
    86,643x = 186,178 × 186,178
  4. Step 4: Simplify right side
    86,643x = 34,662,247,684
  5. Step 5: Solve for x
    x = 34,662,247,684/86,643
  6. Step 6: Final answer
    x = 400,058.26

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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.