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Finding the Third Proportional to 299,225 and 649,315

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Solution

The third proportional to 299,225 and 649,315 is: 1,409,006.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,225 : 649,315 = 649,315 : x
  2. Step 2: Convert to fraction form
    299,225/649,315 = 649,315/x
  3. Step 3: Cross multiply
    299,225x = 649,315 × 649,315
  4. Step 4: Simplify right side
    299,225x = 421,609,969,225
  5. Step 5: Solve for x
    x = 421,609,969,225/299,225
  6. Step 6: Final answer
    x = 1,409,006.50

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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.