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Finding the Third Proportional to 66,538,444 and 145,600,200

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Solution

The third proportional to 66,538,444 and 145,600,200 is: 318,604,057.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,538,444 : 145,600,200 = 145,600,200 : x
  2. Step 2: Convert to fraction form
    66,538,444/145,600,200 = 145,600,200/x
  3. Step 3: Cross multiply
    66,538,444x = 145,600,200 × 145,600,200
  4. Step 4: Simplify right side
    66,538,444x = 21,199,418,240,040,000
  5. Step 5: Solve for x
    x = 21,199,418,240,040,000/66,538,444
  6. Step 6: Final answer
    x = 318,604,057.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.