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Finding the Third Proportional to 321,380 and 459,120

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Solution

The third proportional to 321,380 and 459,120 is: 655,893.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,380 : 459,120 = 459,120 : x
  2. Step 2: Convert to fraction form
    321,380/459,120 = 459,120/x
  3. Step 3: Cross multiply
    321,380x = 459,120 × 459,120
  4. Step 4: Simplify right side
    321,380x = 210,791,174,400
  5. Step 5: Solve for x
    x = 210,791,174,400/321,380
  6. Step 6: Final answer
    x = 655,893.88

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.