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Finding the Third Proportional to 223,603 and 332,362

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Solution

The third proportional to 223,603 and 332,362 is: 494,020.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,603 : 332,362 = 332,362 : x
  2. Step 2: Convert to fraction form
    223,603/332,362 = 332,362/x
  3. Step 3: Cross multiply
    223,603x = 332,362 × 332,362
  4. Step 4: Simplify right side
    223,603x = 110,464,499,044
  5. Step 5: Solve for x
    x = 110,464,499,044/223,603
  6. Step 6: Final answer
    x = 494,020.65

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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.