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Finding the Third Proportional to 66,000 and 142,944

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Solution

The third proportional to 66,000 and 142,944 is: 309,590.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,000 : 142,944 = 142,944 : x
  2. Step 2: Convert to fraction form
    66,000/142,944 = 142,944/x
  3. Step 3: Cross multiply
    66,000x = 142,944 × 142,944
  4. Step 4: Simplify right side
    66,000x = 20,432,987,136
  5. Step 5: Solve for x
    x = 20,432,987,136/66,000
  6. Step 6: Final answer
    x = 309,590.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.