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Finding the Third Proportional to 66,511.13 and 142,863.75

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Solution

The third proportional to 66,511.13 and 142,863.75 is: 306,866.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,511.13 : 142,863.75 = 142,863.75 : x
  2. Step 2: Convert to fraction form
    66,511.13/142,863.75 = 142,863.75/x
  3. Step 3: Cross multiply
    66,511.13x = 142,863.75 × 142,863.75
  4. Step 4: Simplify right side
    66,511.13x = 20,410,051,064.06
  5. Step 5: Solve for x
    x = 20,410,051,064.06/66,511.13
  6. Step 6: Final answer
    x = 306,866.72

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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.