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Finding the Third Proportional to 197,858 and 426,820

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Solution

The third proportional to 197,858 and 426,820 is: 920,737.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,858 : 426,820 = 426,820 : x
  2. Step 2: Convert to fraction form
    197,858/426,820 = 426,820/x
  3. Step 3: Cross multiply
    197,858x = 426,820 × 426,820
  4. Step 4: Simplify right side
    197,858x = 182,175,312,400
  5. Step 5: Solve for x
    x = 182,175,312,400/197,858
  6. Step 6: Final answer
    x = 920,737.66

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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.