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Finding the Third Proportional to 301,340.25 and 409,257

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Solution

The third proportional to 301,340.25 and 409,257 is: 555,821.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,340.25 : 409,257 = 409,257 : x
  2. Step 2: Convert to fraction form
    301,340.25/409,257 = 409,257/x
  3. Step 3: Cross multiply
    301,340.25x = 409,257 × 409,257
  4. Step 4: Simplify right side
    301,340.25x = 167,491,292,049
  5. Step 5: Solve for x
    x = 167,491,292,049/301,340.25
  6. Step 6: Final answer
    x = 555,821.18

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.