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Finding the Third Proportional to 284,509.50 and 440,505

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Solution

The third proportional to 284,509.50 and 440,505 is: 682,032.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,509.50 : 440,505 = 440,505 : x
  2. Step 2: Convert to fraction form
    284,509.50/440,505 = 440,505/x
  3. Step 3: Cross multiply
    284,509.50x = 440,505 × 440,505
  4. Step 4: Simplify right side
    284,509.50x = 194,044,655,025
  5. Step 5: Solve for x
    x = 194,044,655,025/284,509.50
  6. Step 6: Final answer
    x = 682,032.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.