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Finding the Third Proportional to 137,450 and 218,055

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Solution

The third proportional to 137,450 and 218,055 is: 345,929.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,450 : 218,055 = 218,055 : x
  2. Step 2: Convert to fraction form
    137,450/218,055 = 218,055/x
  3. Step 3: Cross multiply
    137,450x = 218,055 × 218,055
  4. Step 4: Simplify right side
    137,450x = 47,547,983,025
  5. Step 5: Solve for x
    x = 47,547,983,025/137,450
  6. Step 6: Final answer
    x = 345,929.31

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.