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Finding the Third Proportional to 280,939.50 and 606,769.31

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Solution

The third proportional to 280,939.50 and 606,769.31 is: 1,310,492.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,939.50 : 606,769.31 = 606,769.31 : x
  2. Step 2: Convert to fraction form
    280,939.50/606,769.31 = 606,769.31/x
  3. Step 3: Cross multiply
    280,939.50x = 606,769.31 × 606,769.31
  4. Step 4: Simplify right side
    280,939.50x = 368,168,998,591.72
  5. Step 5: Solve for x
    x = 368,168,998,591.72/280,939.50
  6. Step 6: Final answer
    x = 1,310,492.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.