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Finding the Third Proportional to 66,975.75 and 90,959.06

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Solution

The third proportional to 66,975.75 and 90,959.06 is: 123,530.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,975.75 : 90,959.06 = 90,959.06 : x
  2. Step 2: Convert to fraction form
    66,975.75/90,959.06 = 90,959.06/x
  3. Step 3: Cross multiply
    66,975.75x = 90,959.06 × 90,959.06
  4. Step 4: Simplify right side
    66,975.75x = 8,273,551,050.88
  5. Step 5: Solve for x
    x = 8,273,551,050.88/66,975.75
  6. Step 6: Final answer
    x = 123,530.55

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.