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Finding the Third Proportional to 301,323 and 648,771

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Solution

The third proportional to 301,323 and 648,771 is: 1,396,852.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,323 : 648,771 = 648,771 : x
  2. Step 2: Convert to fraction form
    301,323/648,771 = 648,771/x
  3. Step 3: Cross multiply
    301,323x = 648,771 × 648,771
  4. Step 4: Simplify right side
    301,323x = 420,903,810,441
  5. Step 5: Solve for x
    x = 420,903,810,441/301,323
  6. Step 6: Final answer
    x = 1,396,852.58

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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.