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Finding the Third Proportional to 321,264 and 484,272

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Solution

The third proportional to 321,264 and 484,272 is: 729,989.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,264 : 484,272 = 484,272 : x
  2. Step 2: Convert to fraction form
    321,264/484,272 = 484,272/x
  3. Step 3: Cross multiply
    321,264x = 484,272 × 484,272
  4. Step 4: Simplify right side
    321,264x = 234,519,369,984
  5. Step 5: Solve for x
    x = 234,519,369,984/321,264
  6. Step 6: Final answer
    x = 729,989.57

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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.