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Finding the Third Proportional to 319,297.50 and 490,925.25

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Solution

The third proportional to 319,297.50 and 490,925.25 is: 754,805.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,297.50 : 490,925.25 = 490,925.25 : x
  2. Step 2: Convert to fraction form
    319,297.50/490,925.25 = 490,925.25/x
  3. Step 3: Cross multiply
    319,297.50x = 490,925.25 × 490,925.25
  4. Step 4: Simplify right side
    319,297.50x = 241,007,601,087.56
  5. Step 5: Solve for x
    x = 241,007,601,087.56/319,297.50
  6. Step 6: Final answer
    x = 754,805.79

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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.