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Finding the Third Proportional to 86,618 and 129,927

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Solution

The third proportional to 86,618 and 129,927 is: 194,890.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,618 : 129,927 = 129,927 : x
  2. Step 2: Convert to fraction form
    86,618/129,927 = 129,927/x
  3. Step 3: Cross multiply
    86,618x = 129,927 × 129,927
  4. Step 4: Simplify right side
    86,618x = 16,881,025,329
  5. Step 5: Solve for x
    x = 16,881,025,329/86,618
  6. Step 6: Final answer
    x = 194,890.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.