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Finding the Third Proportional to 66,021.75 and 142,564.50

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Solution

The third proportional to 66,021.75 and 142,564.50 is: 307,847.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,021.75 : 142,564.50 = 142,564.50 : x
  2. Step 2: Convert to fraction form
    66,021.75/142,564.50 = 142,564.50/x
  3. Step 3: Cross multiply
    66,021.75x = 142,564.50 × 142,564.50
  4. Step 4: Simplify right side
    66,021.75x = 20,324,636,660.25
  5. Step 5: Solve for x
    x = 20,324,636,660.25/66,021.75
  6. Step 6: Final answer
    x = 307,847.59

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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.