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Finding the Third Proportional to 13,129,854 and 21,095,991

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Solution

The third proportional to 13,129,854 and 21,095,991 is: 33,895,337.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,129,854 : 21,095,991 = 21,095,991 : x
  2. Step 2: Convert to fraction form
    13,129,854/21,095,991 = 21,095,991/x
  3. Step 3: Cross multiply
    13,129,854x = 21,095,991 × 21,095,991
  4. Step 4: Simplify right side
    13,129,854x = 445,040,836,272,081
  5. Step 5: Solve for x
    x = 445,040,836,272,081/13,129,854
  6. Step 6: Final answer
    x = 33,895,337.78

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.