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Finding the Third Proportional to 321,036 and 349,058

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Solution

The third proportional to 321,036 and 349,058 is: 379,525.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,036 : 349,058 = 349,058 : x
  2. Step 2: Convert to fraction form
    321,036/349,058 = 349,058/x
  3. Step 3: Cross multiply
    321,036x = 349,058 × 349,058
  4. Step 4: Simplify right side
    321,036x = 121,841,487,364
  5. Step 5: Solve for x
    x = 121,841,487,364/321,036
  6. Step 6: Final answer
    x = 379,525.93

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.