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Finding the Third Proportional to 280,640.25 and 431,340.75

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Solution

The third proportional to 280,640.25 and 431,340.75 is: 662,965.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,640.25 : 431,340.75 = 431,340.75 : x
  2. Step 2: Convert to fraction form
    280,640.25/431,340.75 = 431,340.75/x
  3. Step 3: Cross multiply
    280,640.25x = 431,340.75 × 431,340.75
  4. Step 4: Simplify right side
    280,640.25x = 186,054,842,610.56
  5. Step 5: Solve for x
    x = 186,054,842,610.56/280,640.25
  6. Step 6: Final answer
    x = 662,965.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.