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Finding the Third Proportional to 320,880 and 493,260

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Solution

The third proportional to 320,880 and 493,260 is: 758,244.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,880 : 493,260 = 493,260 : x
  2. Step 2: Convert to fraction form
    320,880/493,260 = 493,260/x
  3. Step 3: Cross multiply
    320,880x = 493,260 × 493,260
  4. Step 4: Simplify right side
    320,880x = 243,305,427,600
  5. Step 5: Solve for x
    x = 243,305,427,600/320,880
  6. Step 6: Final answer
    x = 758,244.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.