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Finding the Third Proportional to 150,907 and 329,459

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Solution

The third proportional to 150,907 and 329,459 is: 719,272.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,907 : 329,459 = 329,459 : x
  2. Step 2: Convert to fraction form
    150,907/329,459 = 329,459/x
  3. Step 3: Cross multiply
    150,907x = 329,459 × 329,459
  4. Step 4: Simplify right side
    150,907x = 108,543,232,681
  5. Step 5: Solve for x
    x = 108,543,232,681/150,907
  6. Step 6: Final answer
    x = 719,272.35

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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.