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Finding the Third Proportional to 210,840 and 326,112

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Solution

The third proportional to 210,840 and 326,112 is: 504,406.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,840 : 326,112 = 326,112 : x
  2. Step 2: Convert to fraction form
    210,840/326,112 = 326,112/x
  3. Step 3: Cross multiply
    210,840x = 326,112 × 326,112
  4. Step 4: Simplify right side
    210,840x = 106,349,036,544
  5. Step 5: Solve for x
    x = 106,349,036,544/210,840
  6. Step 6: Final answer
    x = 504,406.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.