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Finding the Third Proportional to 154,553 and 329,521

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Solution

The third proportional to 154,553 and 329,521 is: 702,568.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,553 : 329,521 = 329,521 : x
  2. Step 2: Convert to fraction form
    154,553/329,521 = 329,521/x
  3. Step 3: Cross multiply
    154,553x = 329,521 × 329,521
  4. Step 4: Simplify right side
    154,553x = 108,584,089,441
  5. Step 5: Solve for x
    x = 108,584,089,441/154,553
  6. Step 6: Final answer
    x = 702,568.63

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.