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Finding the Third Proportional to 66,382 and 145,892

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Solution

The third proportional to 66,382 and 145,892 is: 320,636.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,382 : 145,892 = 145,892 : x
  2. Step 2: Convert to fraction form
    66,382/145,892 = 145,892/x
  3. Step 3: Cross multiply
    66,382x = 145,892 × 145,892
  4. Step 4: Simplify right side
    66,382x = 21,284,475,664
  5. Step 5: Solve for x
    x = 21,284,475,664/66,382
  6. Step 6: Final answer
    x = 320,636.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.