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Finding the Third Proportional to 66,375 and 105,153

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Solution

The third proportional to 66,375 and 105,153 is: 166,586.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,375 : 105,153 = 105,153 : x
  2. Step 2: Convert to fraction form
    66,375/105,153 = 105,153/x
  3. Step 3: Cross multiply
    66,375x = 105,153 × 105,153
  4. Step 4: Simplify right side
    66,375x = 11,057,153,409
  5. Step 5: Solve for x
    x = 11,057,153,409/66,375
  6. Step 6: Final answer
    x = 166,586.12

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.