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Finding the Third Proportional to 137,753 and 210,707

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Solution

The third proportional to 137,753 and 210,707 is: 322,297.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,753 : 210,707 = 210,707 : x
  2. Step 2: Convert to fraction form
    137,753/210,707 = 210,707/x
  3. Step 3: Cross multiply
    137,753x = 210,707 × 210,707
  4. Step 4: Simplify right side
    137,753x = 44,397,439,849
  5. Step 5: Solve for x
    x = 44,397,439,849/137,753
  6. Step 6: Final answer
    x = 322,297.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.