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Finding the Third Proportional to 66,977 and 138,576

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Solution

The third proportional to 66,977 and 138,576 is: 286,714.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,977 : 138,576 = 138,576 : x
  2. Step 2: Convert to fraction form
    66,977/138,576 = 138,576/x
  3. Step 3: Cross multiply
    66,977x = 138,576 × 138,576
  4. Step 4: Simplify right side
    66,977x = 19,203,307,776
  5. Step 5: Solve for x
    x = 19,203,307,776/66,977
  6. Step 6: Final answer
    x = 286,714.96

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.