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Finding the Third Proportional to 301,234 and 649,124

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Solution

The third proportional to 301,234 and 649,124 is: 1,398,786.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,234 : 649,124 = 649,124 : x
  2. Step 2: Convert to fraction form
    301,234/649,124 = 649,124/x
  3. Step 3: Cross multiply
    301,234x = 649,124 × 649,124
  4. Step 4: Simplify right side
    301,234x = 421,361,967,376
  5. Step 5: Solve for x
    x = 421,361,967,376/301,234
  6. Step 6: Final answer
    x = 1,398,786.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.