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Finding the Third Proportional to 280,769.63 and 421,017.75

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Solution

The third proportional to 280,769.63 and 421,017.75 is: 631,321.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,769.63 : 421,017.75 = 421,017.75 : x
  2. Step 2: Convert to fraction form
    280,769.63/421,017.75 = 421,017.75/x
  3. Step 3: Cross multiply
    280,769.63x = 421,017.75 × 421,017.75
  4. Step 4: Simplify right side
    280,769.63x = 177,255,945,815.06
  5. Step 5: Solve for x
    x = 177,255,945,815.06/280,769.63
  6. Step 6: Final answer
    x = 631,321.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.