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Finding the Third Proportional to 154,556 and 338,632

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Solution

The third proportional to 154,556 and 338,632 is: 741,942.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,556 : 338,632 = 338,632 : x
  2. Step 2: Convert to fraction form
    154,556/338,632 = 338,632/x
  3. Step 3: Cross multiply
    154,556x = 338,632 × 338,632
  4. Step 4: Simplify right side
    154,556x = 114,671,631,424
  5. Step 5: Solve for x
    x = 114,671,631,424/154,556
  6. Step 6: Final answer
    x = 741,942.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.