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Finding the Third Proportional to 137,712.66 and 149,467.78

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Solution

The third proportional to 137,712.66 and 149,467.78 is: 162,226.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,712.66 : 149,467.78 = 149,467.78 : x
  2. Step 2: Convert to fraction form
    137,712.66/149,467.78 = 149,467.78/x
  3. Step 3: Cross multiply
    137,712.66x = 149,467.78 × 149,467.78
  4. Step 4: Simplify right side
    137,712.66x = 22,340,617,631.80
  5. Step 5: Solve for x
    x = 22,340,617,631.80/137,712.66
  6. Step 6: Final answer
    x = 162,226.32

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.