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Finding the Third Proportional to 137,250 and 206,205

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Solution

The third proportional to 137,250 and 206,205 is: 309,803.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,250 : 206,205 = 206,205 : x
  2. Step 2: Convert to fraction form
    137,250/206,205 = 206,205/x
  3. Step 3: Cross multiply
    137,250x = 206,205 × 206,205
  4. Step 4: Simplify right side
    137,250x = 42,520,502,025
  5. Step 5: Solve for x
    x = 42,520,502,025/137,250
  6. Step 6: Final answer
    x = 309,803.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.