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Finding the Third Proportional to 66,639 and 145,305

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Solution

The third proportional to 66,639 and 145,305 is: 316,834.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,639 : 145,305 = 145,305 : x
  2. Step 2: Convert to fraction form
    66,639/145,305 = 145,305/x
  3. Step 3: Cross multiply
    66,639x = 145,305 × 145,305
  4. Step 4: Simplify right side
    66,639x = 21,113,543,025
  5. Step 5: Solve for x
    x = 21,113,543,025/66,639
  6. Step 6: Final answer
    x = 316,834.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.