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Finding the Third Proportional to 198,776 and 301,323

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Solution

The third proportional to 198,776 and 301,323 is: 456,773.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,776 : 301,323 = 301,323 : x
  2. Step 2: Convert to fraction form
    198,776/301,323 = 301,323/x
  3. Step 3: Cross multiply
    198,776x = 301,323 × 301,323
  4. Step 4: Simplify right side
    198,776x = 90,795,550,329
  5. Step 5: Solve for x
    x = 90,795,550,329/198,776
  6. Step 6: Final answer
    x = 456,773.20

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.