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Finding the Third Proportional to 51,780,009 and 111,629,991

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Solution

The third proportional to 51,780,009 and 111,629,991 is: 240,657,642.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,780,009 : 111,629,991 = 111,629,991 : x
  2. Step 2: Convert to fraction form
    51,780,009/111,629,991 = 111,629,991/x
  3. Step 3: Cross multiply
    51,780,009x = 111,629,991 × 111,629,991
  4. Step 4: Simplify right side
    51,780,009x = 12,461,254,890,660,080
  5. Step 5: Solve for x
    x = 12,461,254,890,660,080/51,780,009
  6. Step 6: Final answer
    x = 240,657,642.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.