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Finding the Third Proportional to 299,472.75 and 649,521

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Solution

The third proportional to 299,472.75 and 649,521 is: 1,408,734.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,472.75 : 649,521 = 649,521 : x
  2. Step 2: Convert to fraction form
    299,472.75/649,521 = 649,521/x
  3. Step 3: Cross multiply
    299,472.75x = 649,521 × 649,521
  4. Step 4: Simplify right side
    299,472.75x = 421,877,529,441
  5. Step 5: Solve for x
    x = 421,877,529,441/299,472.75
  6. Step 6: Final answer
    x = 1,408,734.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.