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Finding the Third Proportional to 61,178 and 86,153

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Solution

The third proportional to 61,178 and 86,153 is: 121,323.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,178 : 86,153 = 86,153 : x
  2. Step 2: Convert to fraction form
    61,178/86,153 = 86,153/x
  3. Step 3: Cross multiply
    61,178x = 86,153 × 86,153
  4. Step 4: Simplify right side
    61,178x = 7,422,339,409
  5. Step 5: Solve for x
    x = 7,422,339,409/61,178
  6. Step 6: Final answer
    x = 121,323.67

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.