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Finding the Third Proportional to 321,525 and 493,407

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Solution

The third proportional to 321,525 and 493,407 is: 757,174.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,525 : 493,407 = 493,407 : x
  2. Step 2: Convert to fraction form
    321,525/493,407 = 493,407/x
  3. Step 3: Cross multiply
    321,525x = 493,407 × 493,407
  4. Step 4: Simplify right side
    321,525x = 243,450,467,649
  5. Step 5: Solve for x
    x = 243,450,467,649/321,525
  6. Step 6: Final answer
    x = 757,174.30

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.