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Finding the Third Proportional to 66,521,986 and 99,511,731

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Solution

The third proportional to 66,521,986 and 99,511,731 is: 148,861,830.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,521,986 : 99,511,731 = 99,511,731 : x
  2. Step 2: Convert to fraction form
    66,521,986/99,511,731 = 99,511,731/x
  3. Step 3: Cross multiply
    66,521,986x = 99,511,731 × 99,511,731
  4. Step 4: Simplify right side
    66,521,986x = 9,902,584,606,616,360
  5. Step 5: Solve for x
    x = 9,902,584,606,616,360/66,521,986
  6. Step 6: Final answer
    x = 148,861,830.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.