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Finding the Third Proportional to 152,907.75 and 319,757.63

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Solution

The third proportional to 152,907.75 and 319,757.63 is: 668,670.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,907.75 : 319,757.63 = 319,757.63 : x
  2. Step 2: Convert to fraction form
    152,907.75/319,757.63 = 319,757.63/x
  3. Step 3: Cross multiply
    152,907.75x = 319,757.63 × 319,757.63
  4. Step 4: Simplify right side
    152,907.75x = 102,244,938,745.64
  5. Step 5: Solve for x
    x = 102,244,938,745.64/152,907.75
  6. Step 6: Final answer
    x = 668,670.74

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.