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Finding the Third Proportional to 66,685 and 144,818

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Solution

The third proportional to 66,685 and 144,818 is: 314,497.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,685 : 144,818 = 144,818 : x
  2. Step 2: Convert to fraction form
    66,685/144,818 = 144,818/x
  3. Step 3: Cross multiply
    66,685x = 144,818 × 144,818
  4. Step 4: Simplify right side
    66,685x = 20,972,253,124
  5. Step 5: Solve for x
    x = 20,972,253,124/66,685
  6. Step 6: Final answer
    x = 314,497.31

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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.