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Finding the Third Proportional to 30,946 and 66,818

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Solution

The third proportional to 30,946 and 66,818 is: 144,272.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,946 : 66,818 = 66,818 : x
  2. Step 2: Convert to fraction form
    30,946/66,818 = 66,818/x
  3. Step 3: Cross multiply
    30,946x = 66,818 × 66,818
  4. Step 4: Simplify right side
    30,946x = 4,464,645,124
  5. Step 5: Solve for x
    x = 4,464,645,124/30,946
  6. Step 6: Final answer
    x = 144,272.12

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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.