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Finding the Third Proportional to 55,760,090 and 120,787,320

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Solution

The third proportional to 55,760,090 and 120,787,320 is: 261,649,087.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,760,090 : 120,787,320 = 120,787,320 : x
  2. Step 2: Convert to fraction form
    55,760,090/120,787,320 = 120,787,320/x
  3. Step 3: Cross multiply
    55,760,090x = 120,787,320 × 120,787,320
  4. Step 4: Simplify right side
    55,760,090x = 14,589,576,672,782,400
  5. Step 5: Solve for x
    x = 14,589,576,672,782,400/55,760,090
  6. Step 6: Final answer
    x = 261,649,087.60

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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.