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Finding the Third Proportional to 136,944 and 210,400

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Solution

The third proportional to 136,944 and 210,400 is: 323,257.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,944 : 210,400 = 210,400 : x
  2. Step 2: Convert to fraction form
    136,944/210,400 = 210,400/x
  3. Step 3: Cross multiply
    136,944x = 210,400 × 210,400
  4. Step 4: Simplify right side
    136,944x = 44,268,160,000
  5. Step 5: Solve for x
    x = 44,268,160,000/136,944
  6. Step 6: Final answer
    x = 323,257.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.