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Finding the Third Proportional to 197,355 and 426,280

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Solution

The third proportional to 197,355 and 426,280 is: 920,750.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,355 : 426,280 = 426,280 : x
  2. Step 2: Convert to fraction form
    197,355/426,280 = 426,280/x
  3. Step 3: Cross multiply
    197,355x = 426,280 × 426,280
  4. Step 4: Simplify right side
    197,355x = 181,714,638,400
  5. Step 5: Solve for x
    x = 181,714,638,400/197,355
  6. Step 6: Final answer
    x = 920,750.11

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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.