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Finding the Third Proportional to 66,012.19 and 142,546.22

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Solution

The third proportional to 66,012.19 and 142,546.22 is: 307,813.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,012.19 : 142,546.22 = 142,546.22 : x
  2. Step 2: Convert to fraction form
    66,012.19/142,546.22 = 142,546.22/x
  3. Step 3: Cross multiply
    66,012.19x = 142,546.22 × 142,546.22
  4. Step 4: Simplify right side
    66,012.19x = 20,319,424,479.92
  5. Step 5: Solve for x
    x = 20,319,424,479.92/66,012.19
  6. Step 6: Final answer
    x = 307,813.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.