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Finding the Third Proportional to 210,015 and 336,889

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Solution

The third proportional to 210,015 and 336,889 is: 540,409.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,015 : 336,889 = 336,889 : x
  2. Step 2: Convert to fraction form
    210,015/336,889 = 336,889/x
  3. Step 3: Cross multiply
    210,015x = 336,889 × 336,889
  4. Step 4: Simplify right side
    210,015x = 113,494,198,321
  5. Step 5: Solve for x
    x = 113,494,198,321/210,015
  6. Step 6: Final answer
    x = 540,409.96

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.