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Finding the Third Proportional to 66,578 and 101,230

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Solution

The third proportional to 66,578 and 101,230 is: 153,917.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,578 : 101,230 = 101,230 : x
  2. Step 2: Convert to fraction form
    66,578/101,230 = 101,230/x
  3. Step 3: Cross multiply
    66,578x = 101,230 × 101,230
  4. Step 4: Simplify right side
    66,578x = 10,247,512,900
  5. Step 5: Solve for x
    x = 10,247,512,900/66,578
  6. Step 6: Final answer
    x = 153,917.40

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.