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Finding the Third Proportional to 284,217.75 and 429,270.75

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Solution

The third proportional to 284,217.75 and 429,270.75 is: 648,352.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,217.75 : 429,270.75 = 429,270.75 : x
  2. Step 2: Convert to fraction form
    284,217.75/429,270.75 = 429,270.75/x
  3. Step 3: Cross multiply
    284,217.75x = 429,270.75 × 429,270.75
  4. Step 4: Simplify right side
    284,217.75x = 184,273,376,805.56
  5. Step 5: Solve for x
    x = 184,273,376,805.56/284,217.75
  6. Step 6: Final answer
    x = 648,352.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.