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Finding the Third Proportional to 370,400 and 553,161

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Solution

The third proportional to 370,400 and 553,161 is: 826,099.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,400 : 553,161 = 553,161 : x
  2. Step 2: Convert to fraction form
    370,400/553,161 = 553,161/x
  3. Step 3: Cross multiply
    370,400x = 553,161 × 553,161
  4. Step 4: Simplify right side
    370,400x = 305,987,091,921
  5. Step 5: Solve for x
    x = 305,987,091,921/370,400
  6. Step 6: Final answer
    x = 826,099.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.