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Finding the Third Proportional to 66,058 and 142,644

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Solution

The third proportional to 66,058 and 142,644 is: 308,021.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,058 : 142,644 = 142,644 : x
  2. Step 2: Convert to fraction form
    66,058/142,644 = 142,644/x
  3. Step 3: Cross multiply
    66,058x = 142,644 × 142,644
  4. Step 4: Simplify right side
    66,058x = 20,347,310,736
  5. Step 5: Solve for x
    x = 20,347,310,736/66,058
  6. Step 6: Final answer
    x = 308,021.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.