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Finding the Third Proportional to 301,254 and 649,200

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Solution

The third proportional to 301,254 and 649,200 is: 1,399,020.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,254 : 649,200 = 649,200 : x
  2. Step 2: Convert to fraction form
    301,254/649,200 = 649,200/x
  3. Step 3: Cross multiply
    301,254x = 649,200 × 649,200
  4. Step 4: Simplify right side
    301,254x = 421,460,640,000
  5. Step 5: Solve for x
    x = 421,460,640,000/301,254
  6. Step 6: Final answer
    x = 1,399,020.89

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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.