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Finding the Third Proportional to 86,618 and 186,628

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Solution

The third proportional to 86,618 and 186,628 is: 402,110.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,618 : 186,628 = 186,628 : x
  2. Step 2: Convert to fraction form
    86,618/186,628 = 186,628/x
  3. Step 3: Cross multiply
    86,618x = 186,628 × 186,628
  4. Step 4: Simplify right side
    86,618x = 34,830,010,384
  5. Step 5: Solve for x
    x = 34,830,010,384/86,618
  6. Step 6: Final answer
    x = 402,110.54

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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.