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Finding the Third Proportional to 284,485.50 and 439,040.25

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Solution

The third proportional to 284,485.50 and 439,040.25 is: 677,561.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,485.50 : 439,040.25 = 439,040.25 : x
  2. Step 2: Convert to fraction form
    284,485.50/439,040.25 = 439,040.25/x
  3. Step 3: Cross multiply
    284,485.50x = 439,040.25 × 439,040.25
  4. Step 4: Simplify right side
    284,485.50x = 192,756,341,120.06
  5. Step 5: Solve for x
    x = 192,756,341,120.06/284,485.50
  6. Step 6: Final answer
    x = 677,561.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.