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Finding the Third Proportional to 284,928.75 and 439,729.03

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Solution

The third proportional to 284,928.75 and 439,729.03 is: 678,631.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,928.75 : 439,729.03 = 439,729.03 : x
  2. Step 2: Convert to fraction form
    284,928.75/439,729.03 = 439,729.03/x
  3. Step 3: Cross multiply
    284,928.75x = 439,729.03 × 439,729.03
  4. Step 4: Simplify right side
    284,928.75x = 193,361,620,924.06
  5. Step 5: Solve for x
    x = 193,361,620,924.06/284,928.75
  6. Step 6: Final answer
    x = 678,631.49

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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.