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Finding the Third Proportional to 66,324,284.50 and 142,726,265

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Solution

The third proportional to 66,324,284.50 and 142,726,265 is: 307,139,185.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,324,284.50 : 142,726,265 = 142,726,265 : x
  2. Step 2: Convert to fraction form
    66,324,284.50/142,726,265 = 142,726,265/x
  3. Step 3: Cross multiply
    66,324,284.50x = 142,726,265 × 142,726,265
  4. Step 4: Simplify right side
    66,324,284.50x = 20,370,786,720,850,224
  5. Step 5: Solve for x
    x = 20,370,786,720,850,224/66,324,284.50
  6. Step 6: Final answer
    x = 307,139,185.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.