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Finding the Third Proportional to 66,942 and 103,653.75

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Solution

The third proportional to 66,942 and 103,653.75 is: 160,498.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,942 : 103,653.75 = 103,653.75 : x
  2. Step 2: Convert to fraction form
    66,942/103,653.75 = 103,653.75/x
  3. Step 3: Cross multiply
    66,942x = 103,653.75 × 103,653.75
  4. Step 4: Simplify right side
    66,942x = 10,744,099,889.06
  5. Step 5: Solve for x
    x = 10,744,099,889.06/66,942
  6. Step 6: Final answer
    x = 160,498.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.