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Finding the Third Proportional to 207,580 and 321,054

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Solution

The third proportional to 207,580 and 321,054 is: 496,558.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,580 : 321,054 = 321,054 : x
  2. Step 2: Convert to fraction form
    207,580/321,054 = 321,054/x
  3. Step 3: Cross multiply
    207,580x = 321,054 × 321,054
  4. Step 4: Simplify right side
    207,580x = 103,075,670,916
  5. Step 5: Solve for x
    x = 103,075,670,916/207,580
  6. Step 6: Final answer
    x = 496,558.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.