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Finding the Third Proportional to 137,929 and 210,905

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Solution

The third proportional to 137,929 and 210,905 is: 322,491.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,929 : 210,905 = 210,905 : x
  2. Step 2: Convert to fraction form
    137,929/210,905 = 210,905/x
  3. Step 3: Cross multiply
    137,929x = 210,905 × 210,905
  4. Step 4: Simplify right side
    137,929x = 44,480,919,025
  5. Step 5: Solve for x
    x = 44,480,919,025/137,929
  6. Step 6: Final answer
    x = 322,491.42

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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.