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Finding the Third Proportional to 384,270.75 and 821,745

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Solution

The third proportional to 384,270.75 and 821,745 is: 1,757,263.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,270.75 : 821,745 = 821,745 : x
  2. Step 2: Convert to fraction form
    384,270.75/821,745 = 821,745/x
  3. Step 3: Cross multiply
    384,270.75x = 821,745 × 821,745
  4. Step 4: Simplify right side
    384,270.75x = 675,264,845,025
  5. Step 5: Solve for x
    x = 675,264,845,025/384,270.75
  6. Step 6: Final answer
    x = 1,757,263.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.