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Finding the Third Proportional to 86,934.50 and 114,819

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Solution

The third proportional to 86,934.50 and 114,819 is: 151,647.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,934.50 : 114,819 = 114,819 : x
  2. Step 2: Convert to fraction form
    86,934.50/114,819 = 114,819/x
  3. Step 3: Cross multiply
    86,934.50x = 114,819 × 114,819
  4. Step 4: Simplify right side
    86,934.50x = 13,183,402,761
  5. Step 5: Solve for x
    x = 13,183,402,761/86,934.50
  6. Step 6: Final answer
    x = 151,647.54

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Why These Related Problems?

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