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Finding the Third Proportional to 66,466 and 143,368

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Solution

The third proportional to 66,466 and 143,368 is: 309,246.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,466 : 143,368 = 143,368 : x
  2. Step 2: Convert to fraction form
    66,466/143,368 = 143,368/x
  3. Step 3: Cross multiply
    66,466x = 143,368 × 143,368
  4. Step 4: Simplify right side
    66,466x = 20,554,383,424
  5. Step 5: Solve for x
    x = 20,554,383,424/66,466
  6. Step 6: Final answer
    x = 309,246.58

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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.