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Finding the Third Proportional to 284,401.13 and 315,201.38

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Solution

The third proportional to 284,401.13 and 315,201.38 is: 349,337.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,401.13 : 315,201.38 = 315,201.38 : x
  2. Step 2: Convert to fraction form
    284,401.13/315,201.38 = 315,201.38/x
  3. Step 3: Cross multiply
    284,401.13x = 315,201.38 × 315,201.38
  4. Step 4: Simplify right side
    284,401.13x = 99,351,906,801.89
  5. Step 5: Solve for x
    x = 99,351,906,801.89/284,401.13
  6. Step 6: Final answer
    x = 349,337.25

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.