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Finding the Third Proportional to 150,303 and 328,307

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Solution

The third proportional to 150,303 and 328,307 is: 717,121.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,303 : 328,307 = 328,307 : x
  2. Step 2: Convert to fraction form
    150,303/328,307 = 328,307/x
  3. Step 3: Cross multiply
    150,303x = 328,307 × 328,307
  4. Step 4: Simplify right side
    150,303x = 107,785,486,249
  5. Step 5: Solve for x
    x = 107,785,486,249/150,303
  6. Step 6: Final answer
    x = 717,121.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.