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Finding the Third Proportional to 306,205 and 400,255

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Solution

The third proportional to 306,205 and 400,255 is: 523,192.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,205 : 400,255 = 400,255 : x
  2. Step 2: Convert to fraction form
    306,205/400,255 = 400,255/x
  3. Step 3: Cross multiply
    306,205x = 400,255 × 400,255
  4. Step 4: Simplify right side
    306,205x = 160,204,065,025
  5. Step 5: Solve for x
    x = 160,204,065,025/306,205
  6. Step 6: Final answer
    x = 523,192.19

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.