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Finding the Third Proportional to 66,302 and 144,148

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Solution

The third proportional to 66,302 and 144,148 is: 313,393.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,302 : 144,148 = 144,148 : x
  2. Step 2: Convert to fraction form
    66,302/144,148 = 144,148/x
  3. Step 3: Cross multiply
    66,302x = 144,148 × 144,148
  4. Step 4: Simplify right side
    66,302x = 20,778,645,904
  5. Step 5: Solve for x
    x = 20,778,645,904/66,302
  6. Step 6: Final answer
    x = 313,393.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.