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Finding the Third Proportional to 66,533 and 145,489

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Solution

The third proportional to 66,533 and 145,489 is: 318,143.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,533 : 145,489 = 145,489 : x
  2. Step 2: Convert to fraction form
    66,533/145,489 = 145,489/x
  3. Step 3: Cross multiply
    66,533x = 145,489 × 145,489
  4. Step 4: Simplify right side
    66,533x = 21,167,049,121
  5. Step 5: Solve for x
    x = 21,167,049,121/66,533
  6. Step 6: Final answer
    x = 318,143.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.