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Finding the Third Proportional to 86,856 and 114,732

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Solution

The third proportional to 86,856 and 114,732 is: 151,554.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,856 : 114,732 = 114,732 : x
  2. Step 2: Convert to fraction form
    86,856/114,732 = 114,732/x
  3. Step 3: Cross multiply
    86,856x = 114,732 × 114,732
  4. Step 4: Simplify right side
    86,856x = 13,163,431,824
  5. Step 5: Solve for x
    x = 13,163,431,824/86,856
  6. Step 6: Final answer
    x = 151,554.66

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.