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Finding the Third Proportional to 387,013.50 and 821,049

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Solution

The third proportional to 387,013.50 and 821,049 is: 1,741,855.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,013.50 : 821,049 = 821,049 : x
  2. Step 2: Convert to fraction form
    387,013.50/821,049 = 821,049/x
  3. Step 3: Cross multiply
    387,013.50x = 821,049 × 821,049
  4. Step 4: Simplify right side
    387,013.50x = 674,121,460,401
  5. Step 5: Solve for x
    x = 674,121,460,401/387,013.50
  6. Step 6: Final answer
    x = 1,741,855.16

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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.