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Finding the Third Proportional to 66,915.81 and 144,857.74

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Solution

The third proportional to 66,915.81 and 144,857.74 is: 313,584.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,915.81 : 144,857.74 = 144,857.74 : x
  2. Step 2: Convert to fraction form
    66,915.81/144,857.74 = 144,857.74/x
  3. Step 3: Cross multiply
    66,915.81x = 144,857.74 × 144,857.74
  4. Step 4: Simplify right side
    66,915.81x = 20,983,765,471.66
  5. Step 5: Solve for x
    x = 20,983,765,471.66/66,915.81
  6. Step 6: Final answer
    x = 313,584.58

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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.