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Finding the Third Proportional to 137,928 and 210,900

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Solution

The third proportional to 137,928 and 210,900 is: 322,478.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,928 : 210,900 = 210,900 : x
  2. Step 2: Convert to fraction form
    137,928/210,900 = 210,900/x
  3. Step 3: Cross multiply
    137,928x = 210,900 × 210,900
  4. Step 4: Simplify right side
    137,928x = 44,478,810,000
  5. Step 5: Solve for x
    x = 44,478,810,000/137,928
  6. Step 6: Final answer
    x = 322,478.47

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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.