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Finding the Third Proportional to 174,816 and 377,280

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Solution

The third proportional to 174,816 and 377,280 is: 814,228.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,816 : 377,280 = 377,280 : x
  2. Step 2: Convert to fraction form
    174,816/377,280 = 377,280/x
  3. Step 3: Cross multiply
    174,816x = 377,280 × 377,280
  4. Step 4: Simplify right side
    174,816x = 142,340,198,400
  5. Step 5: Solve for x
    x = 142,340,198,400/174,816
  6. Step 6: Final answer
    x = 814,228.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.