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Finding the Third Proportional to 66,024 and 142,400

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Solution

The third proportional to 66,024 and 142,400 is: 307,127.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,024 : 142,400 = 142,400 : x
  2. Step 2: Convert to fraction form
    66,024/142,400 = 142,400/x
  3. Step 3: Cross multiply
    66,024x = 142,400 × 142,400
  4. Step 4: Simplify right side
    66,024x = 20,277,760,000
  5. Step 5: Solve for x
    x = 20,277,760,000/66,024
  6. Step 6: Final answer
    x = 307,127.11

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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.