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Finding the Third Proportional to 66,258,619.21 and 145,661,062.85

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Solution

The third proportional to 66,258,619.21 and 145,661,062.85 is: 320,217,135.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,258,619.21 : 145,661,062.85 = 145,661,062.85 : x
  2. Step 2: Convert to fraction form
    66,258,619.21/145,661,062.85 = 145,661,062.85/x
  3. Step 3: Cross multiply
    66,258,619.21x = 145,661,062.85 × 145,661,062.85
  4. Step 4: Simplify right side
    66,258,619.21x = 21,217,145,231,046,112
  5. Step 5: Solve for x
    x = 21,217,145,231,046,112/66,258,619.21
  6. Step 6: Final answer
    x = 320,217,135.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.