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Finding the Third Proportional to 280,072.69 and 569,371.78

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Solution

The third proportional to 280,072.69 and 569,371.78 is: 1,157,500.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,072.69 : 569,371.78 = 569,371.78 : x
  2. Step 2: Convert to fraction form
    280,072.69/569,371.78 = 569,371.78/x
  3. Step 3: Cross multiply
    280,072.69x = 569,371.78 × 569,371.78
  4. Step 4: Simplify right side
    280,072.69x = 324,184,225,283.80
  5. Step 5: Solve for x
    x = 324,184,225,283.80/280,072.69
  6. Step 6: Final answer
    x = 1,157,500.32

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.