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Finding the Third Proportional to 66,148.75 and 142,907.75

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Solution

The third proportional to 66,148.75 and 142,907.75 is: 308,737.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,148.75 : 142,907.75 = 142,907.75 : x
  2. Step 2: Convert to fraction form
    66,148.75/142,907.75 = 142,907.75/x
  3. Step 3: Cross multiply
    66,148.75x = 142,907.75 × 142,907.75
  4. Step 4: Simplify right side
    66,148.75x = 20,422,625,010.06
  5. Step 5: Solve for x
    x = 20,422,625,010.06/66,148.75
  6. Step 6: Final answer
    x = 308,737.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.