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Finding the Third Proportional to 280,759.50 and 421,003.13

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Solution

The third proportional to 280,759.50 and 421,003.13 is: 631,300.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,759.50 : 421,003.13 = 421,003.13 : x
  2. Step 2: Convert to fraction form
    280,759.50/421,003.13 = 421,003.13/x
  3. Step 3: Cross multiply
    280,759.50x = 421,003.13 × 421,003.13
  4. Step 4: Simplify right side
    280,759.50x = 177,243,631,259.77
  5. Step 5: Solve for x
    x = 177,243,631,259.77/280,759.50
  6. Step 6: Final answer
    x = 631,300.57

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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.