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Finding the Third Proportional to 30,866.63 and 66,414.38

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Solution

The third proportional to 30,866.63 and 66,414.38 is: 142,900.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,866.63 : 66,414.38 = 66,414.38 : x
  2. Step 2: Convert to fraction form
    30,866.63/66,414.38 = 66,414.38/x
  3. Step 3: Cross multiply
    30,866.63x = 66,414.38 × 66,414.38
  4. Step 4: Simplify right side
    30,866.63x = 4,410,869,206.64
  5. Step 5: Solve for x
    x = 4,410,869,206.64/30,866.63
  6. Step 6: Final answer
    x = 142,900.92

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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.