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Finding the Third Proportional to 197,354 and 426,220

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Solution

The third proportional to 197,354 and 426,220 is: 920,495.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,354 : 426,220 = 426,220 : x
  2. Step 2: Convert to fraction form
    197,354/426,220 = 426,220/x
  3. Step 3: Cross multiply
    197,354x = 426,220 × 426,220
  4. Step 4: Simplify right side
    197,354x = 181,663,488,400
  5. Step 5: Solve for x
    x = 181,663,488,400/197,354
  6. Step 6: Final answer
    x = 920,495.60

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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.