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Finding the Third Proportional to 66,362 and 145,846

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Solution

The third proportional to 66,362 and 145,846 is: 320,530.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,362 : 145,846 = 145,846 : x
  2. Step 2: Convert to fraction form
    66,362/145,846 = 145,846/x
  3. Step 3: Cross multiply
    66,362x = 145,846 × 145,846
  4. Step 4: Simplify right side
    66,362x = 21,271,055,716
  5. Step 5: Solve for x
    x = 21,271,055,716/66,362
  6. Step 6: Final answer
    x = 320,530.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.