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Finding the Third Proportional to 297,920 and 649,396

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Solution

The third proportional to 297,920 and 649,396 is: 1,415,531.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,920 : 649,396 = 649,396 : x
  2. Step 2: Convert to fraction form
    297,920/649,396 = 649,396/x
  3. Step 3: Cross multiply
    297,920x = 649,396 × 649,396
  4. Step 4: Simplify right side
    297,920x = 421,715,164,816
  5. Step 5: Solve for x
    x = 421,715,164,816/297,920
  6. Step 6: Final answer
    x = 1,415,531.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.