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Finding the Third Proportional to 66,766 and 144,944

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Solution

The third proportional to 66,766 and 144,944 is: 314,662.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,766 : 144,944 = 144,944 : x
  2. Step 2: Convert to fraction form
    66,766/144,944 = 144,944/x
  3. Step 3: Cross multiply
    66,766x = 144,944 × 144,944
  4. Step 4: Simplify right side
    66,766x = 21,008,763,136
  5. Step 5: Solve for x
    x = 21,008,763,136/66,766
  6. Step 6: Final answer
    x = 314,662.60

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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.