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Finding the Third Proportional to 198,889 and 301,222

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Solution

The third proportional to 198,889 and 301,222 is: 456,207.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,889 : 301,222 = 301,222 : x
  2. Step 2: Convert to fraction form
    198,889/301,222 = 301,222/x
  3. Step 3: Cross multiply
    198,889x = 301,222 × 301,222
  4. Step 4: Simplify right side
    198,889x = 90,734,693,284
  5. Step 5: Solve for x
    x = 90,734,693,284/198,889
  6. Step 6: Final answer
    x = 456,207.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.