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Finding the Third Proportional to 66,972 and 138,300

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Solution

The third proportional to 66,972 and 138,300 is: 285,595.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,972 : 138,300 = 138,300 : x
  2. Step 2: Convert to fraction form
    66,972/138,300 = 138,300/x
  3. Step 3: Cross multiply
    66,972x = 138,300 × 138,300
  4. Step 4: Simplify right side
    66,972x = 19,126,890,000
  5. Step 5: Solve for x
    x = 19,126,890,000/66,972
  6. Step 6: Final answer
    x = 285,595.32

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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.