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Finding the Third Proportional to 444,103,074 and 962,342,127

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Solution

The third proportional to 444,103,074 and 962,342,127 is: 2,085,332,040.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,103,074 : 962,342,127 = 962,342,127 : x
  2. Step 2: Convert to fraction form
    444,103,074/962,342,127 = 962,342,127/x
  3. Step 3: Cross multiply
    444,103,074x = 962,342,127 × 962,342,127
  4. Step 4: Simplify right side
    444,103,074x = 926,102,369,398,884,096
  5. Step 5: Solve for x
    x = 926,102,369,398,884,096/444,103,074
  6. Step 6: Final answer
    x = 2,085,332,040.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.