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Finding the Third Proportional to 170,400 and 263,574

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Solution

The third proportional to 170,400 and 263,574 is: 407,695.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,400 : 263,574 = 263,574 : x
  2. Step 2: Convert to fraction form
    170,400/263,574 = 263,574/x
  3. Step 3: Cross multiply
    170,400x = 263,574 × 263,574
  4. Step 4: Simplify right side
    170,400x = 69,471,253,476
  5. Step 5: Solve for x
    x = 69,471,253,476/170,400
  6. Step 6: Final answer
    x = 407,695.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.