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Finding the Third Proportional to 280,801.69 and 421,065.84

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Solution

The third proportional to 280,801.69 and 421,065.84 is: 631,393.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,801.69 : 421,065.84 = 421,065.84 : x
  2. Step 2: Convert to fraction form
    280,801.69/421,065.84 = 421,065.84/x
  3. Step 3: Cross multiply
    280,801.69x = 421,065.84 × 421,065.84
  4. Step 4: Simplify right side
    280,801.69x = 177,296,444,772.90
  5. Step 5: Solve for x
    x = 177,296,444,772.90/280,801.69
  6. Step 6: Final answer
    x = 631,393.80

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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.