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Finding the Third Proportional to 223,600 and 332,358

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Solution

The third proportional to 223,600 and 332,358 is: 494,015.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,600 : 332,358 = 332,358 : x
  2. Step 2: Convert to fraction form
    223,600/332,358 = 332,358/x
  3. Step 3: Cross multiply
    223,600x = 332,358 × 332,358
  4. Step 4: Simplify right side
    223,600x = 110,461,840,164
  5. Step 5: Solve for x
    x = 110,461,840,164/223,600
  6. Step 6: Final answer
    x = 494,015.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.