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Finding the Third Proportional to 66,021 and 142,566

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Solution

The third proportional to 66,021 and 142,566 is: 307,857.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,021 : 142,566 = 142,566 : x
  2. Step 2: Convert to fraction form
    66,021/142,566 = 142,566/x
  3. Step 3: Cross multiply
    66,021x = 142,566 × 142,566
  4. Step 4: Simplify right side
    66,021x = 20,325,064,356
  5. Step 5: Solve for x
    x = 20,325,064,356/66,021
  6. Step 6: Final answer
    x = 307,857.57

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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.