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Finding the Third Proportional to 149,907.75 and 319,235.25

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Solution

The third proportional to 149,907.75 and 319,235.25 is: 679,825.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,907.75 : 319,235.25 = 319,235.25 : x
  2. Step 2: Convert to fraction form
    149,907.75/319,235.25 = 319,235.25/x
  3. Step 3: Cross multiply
    149,907.75x = 319,235.25 × 319,235.25
  4. Step 4: Simplify right side
    149,907.75x = 101,911,144,842.56
  5. Step 5: Solve for x
    x = 101,911,144,842.56/149,907.75
  6. Step 6: Final answer
    x = 679,825.73

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.