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Finding the Third Proportional to 66,120.19 and 142,182.56

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Solution

The third proportional to 66,120.19 and 142,182.56 is: 305,744.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,120.19 : 142,182.56 = 142,182.56 : x
  2. Step 2: Convert to fraction form
    66,120.19/142,182.56 = 142,182.56/x
  3. Step 3: Cross multiply
    66,120.19x = 142,182.56 × 142,182.56
  4. Step 4: Simplify right side
    66,120.19x = 20,215,881,079.07
  5. Step 5: Solve for x
    x = 20,215,881,079.07/66,120.19
  6. Step 6: Final answer
    x = 305,744.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.