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Finding the Third Proportional to 45,018 and 67,155

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Solution

The third proportional to 45,018 and 67,155 is: 100,177.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,018 : 67,155 = 67,155 : x
  2. Step 2: Convert to fraction form
    45,018/67,155 = 67,155/x
  3. Step 3: Cross multiply
    45,018x = 67,155 × 67,155
  4. Step 4: Simplify right side
    45,018x = 4,509,794,025
  5. Step 5: Solve for x
    x = 4,509,794,025/45,018
  6. Step 6: Final answer
    x = 100,177.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.