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Finding the Third Proportional to 288,257.50 and 421,278

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Solution

The third proportional to 288,257.50 and 421,278 is: 615,682.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,257.50 : 421,278 = 421,278 : x
  2. Step 2: Convert to fraction form
    288,257.50/421,278 = 421,278/x
  3. Step 3: Cross multiply
    288,257.50x = 421,278 × 421,278
  4. Step 4: Simplify right side
    288,257.50x = 177,475,153,284
  5. Step 5: Solve for x
    x = 177,475,153,284/288,257.50
  6. Step 6: Final answer
    x = 615,682.69

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.