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Finding the Third Proportional to 149,648 and 328,816

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Solution

The third proportional to 149,648 and 328,816 is: 722,495.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,648 : 328,816 = 328,816 : x
  2. Step 2: Convert to fraction form
    149,648/328,816 = 328,816/x
  3. Step 3: Cross multiply
    149,648x = 328,816 × 328,816
  4. Step 4: Simplify right side
    149,648x = 108,119,961,856
  5. Step 5: Solve for x
    x = 108,119,961,856/149,648
  6. Step 6: Final answer
    x = 722,495.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.