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Finding the Third Proportional to 66,907.88 and 144,260.25

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Solution

The third proportional to 66,907.88 and 144,260.25 is: 311,039.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,907.88 : 144,260.25 = 144,260.25 : x
  2. Step 2: Convert to fraction form
    66,907.88/144,260.25 = 144,260.25/x
  3. Step 3: Cross multiply
    66,907.88x = 144,260.25 × 144,260.25
  4. Step 4: Simplify right side
    66,907.88x = 20,811,019,730.06
  5. Step 5: Solve for x
    x = 20,811,019,730.06/66,907.88
  6. Step 6: Final answer
    x = 311,039.91

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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.