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Finding the Third Proportional to 197,406 and 433,219.50

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Solution

The third proportional to 197,406 and 433,219.50 is: 950,726.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,406 : 433,219.50 = 433,219.50 : x
  2. Step 2: Convert to fraction form
    197,406/433,219.50 = 433,219.50/x
  3. Step 3: Cross multiply
    197,406x = 433,219.50 × 433,219.50
  4. Step 4: Simplify right side
    197,406x = 187,679,135,180.25
  5. Step 5: Solve for x
    x = 187,679,135,180.25/197,406
  6. Step 6: Final answer
    x = 950,726.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.