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Finding the Third Proportional to 66,230 and 142,828

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Solution

The third proportional to 66,230 and 142,828 is: 308,015.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,230 : 142,828 = 142,828 : x
  2. Step 2: Convert to fraction form
    66,230/142,828 = 142,828/x
  3. Step 3: Cross multiply
    66,230x = 142,828 × 142,828
  4. Step 4: Simplify right side
    66,230x = 20,399,837,584
  5. Step 5: Solve for x
    x = 20,399,837,584/66,230
  6. Step 6: Final answer
    x = 308,015.06

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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.