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Finding the Third Proportional to 312,281 and 649,095

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Solution

The third proportional to 312,281 and 649,095 is: 1,349,183.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,281 : 649,095 = 649,095 : x
  2. Step 2: Convert to fraction form
    312,281/649,095 = 649,095/x
  3. Step 3: Cross multiply
    312,281x = 649,095 × 649,095
  4. Step 4: Simplify right side
    312,281x = 421,324,319,025
  5. Step 5: Solve for x
    x = 421,324,319,025/312,281
  6. Step 6: Final answer
    x = 1,349,183.33

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.