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Finding the Third Proportional to 66,132 and 142,718.25

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Solution

The third proportional to 66,132 and 142,718.25 is: 307,997.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,132 : 142,718.25 = 142,718.25 : x
  2. Step 2: Convert to fraction form
    66,132/142,718.25 = 142,718.25/x
  3. Step 3: Cross multiply
    66,132x = 142,718.25 × 142,718.25
  4. Step 4: Simplify right side
    66,132x = 20,368,498,883.06
  5. Step 5: Solve for x
    x = 20,368,498,883.06/66,132
  6. Step 6: Final answer
    x = 307,997.62

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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.