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Finding the Third Proportional to 102,078 and 149,655

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Solution

The third proportional to 102,078 and 149,655 is: 219,406.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,078 : 149,655 = 149,655 : x
  2. Step 2: Convert to fraction form
    102,078/149,655 = 149,655/x
  3. Step 3: Cross multiply
    102,078x = 149,655 × 149,655
  4. Step 4: Simplify right side
    102,078x = 22,396,619,025
  5. Step 5: Solve for x
    x = 22,396,619,025/102,078
  6. Step 6: Final answer
    x = 219,406.91

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.