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Finding the Third Proportional to 197,658 and 426,411

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Solution

The third proportional to 197,658 and 426,411 is: 919,903.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,658 : 426,411 = 426,411 : x
  2. Step 2: Convert to fraction form
    197,658/426,411 = 426,411/x
  3. Step 3: Cross multiply
    197,658x = 426,411 × 426,411
  4. Step 4: Simplify right side
    197,658x = 181,826,340,921
  5. Step 5: Solve for x
    x = 181,826,340,921/197,658
  6. Step 6: Final answer
    x = 919,903.78

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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.