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Finding the Third Proportional to 21,047,997 and 31,486,162.50

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Solution

The third proportional to 21,047,997 and 31,486,162.50 is: 47,100,844.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,047,997 : 31,486,162.50 = 31,486,162.50 : x
  2. Step 2: Convert to fraction form
    21,047,997/31,486,162.50 = 31,486,162.50/x
  3. Step 3: Cross multiply
    21,047,997x = 31,486,162.50 × 31,486,162.50
  4. Step 4: Simplify right side
    21,047,997x = 991,378,428,976,406.25
  5. Step 5: Solve for x
    x = 991,378,428,976,406.25/21,047,997
  6. Step 6: Final answer
    x = 47,100,844.27

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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.