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Finding the Third Proportional to 320,988 and 496,764

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Solution

The third proportional to 320,988 and 496,764 is: 768,796.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,988 : 496,764 = 496,764 : x
  2. Step 2: Convert to fraction form
    320,988/496,764 = 496,764/x
  3. Step 3: Cross multiply
    320,988x = 496,764 × 496,764
  4. Step 4: Simplify right side
    320,988x = 246,774,471,696
  5. Step 5: Solve for x
    x = 246,774,471,696/320,988
  6. Step 6: Final answer
    x = 768,796.56

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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.