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Finding the Third Proportional to 66,033 and 139,353

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Solution

The third proportional to 66,033 and 139,353 is: 294,084.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,033 : 139,353 = 139,353 : x
  2. Step 2: Convert to fraction form
    66,033/139,353 = 139,353/x
  3. Step 3: Cross multiply
    66,033x = 139,353 × 139,353
  4. Step 4: Simplify right side
    66,033x = 19,419,258,609
  5. Step 5: Solve for x
    x = 19,419,258,609/66,033
  6. Step 6: Final answer
    x = 294,084.15

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.