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Finding the Third Proportional to 321,266 and 484,275

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Solution

The third proportional to 321,266 and 484,275 is: 729,994.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,266 : 484,275 = 484,275 : x
  2. Step 2: Convert to fraction form
    321,266/484,275 = 484,275/x
  3. Step 3: Cross multiply
    321,266x = 484,275 × 484,275
  4. Step 4: Simplify right side
    321,266x = 234,522,275,625
  5. Step 5: Solve for x
    x = 234,522,275,625/321,266
  6. Step 6: Final answer
    x = 729,994.07

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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.