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Finding the Third Proportional to 387,648.25 and 821,325.88

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Solution

The third proportional to 387,648.25 and 821,325.88 is: 1,740,176.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,648.25 : 821,325.88 = 821,325.88 : x
  2. Step 2: Convert to fraction form
    387,648.25/821,325.88 = 821,325.88/x
  3. Step 3: Cross multiply
    387,648.25x = 821,325.88 × 821,325.88
  4. Step 4: Simplify right side
    387,648.25x = 674,576,192,944.52
  5. Step 5: Solve for x
    x = 674,576,192,944.52/387,648.25
  6. Step 6: Final answer
    x = 1,740,176.03

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.