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Finding the Third Proportional to 66,645 and 145,622

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Solution

The third proportional to 66,645 and 145,622 is: 318,189.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,645 : 145,622 = 145,622 : x
  2. Step 2: Convert to fraction form
    66,645/145,622 = 145,622/x
  3. Step 3: Cross multiply
    66,645x = 145,622 × 145,622
  4. Step 4: Simplify right side
    66,645x = 21,205,766,884
  5. Step 5: Solve for x
    x = 21,205,766,884/66,645
  6. Step 6: Final answer
    x = 318,189.91

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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.