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Finding the Third Proportional to 280,778.63 and 421,029

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Solution

The third proportional to 280,778.63 and 421,029 is: 631,335.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,778.63 : 421,029 = 421,029 : x
  2. Step 2: Convert to fraction form
    280,778.63/421,029 = 421,029/x
  3. Step 3: Cross multiply
    280,778.63x = 421,029 × 421,029
  4. Step 4: Simplify right side
    280,778.63x = 177,265,418,841
  5. Step 5: Solve for x
    x = 177,265,418,841/280,778.63
  6. Step 6: Final answer
    x = 631,335.16

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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.