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Finding the Third Proportional to 30,676 and 65,724

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Solution

The third proportional to 30,676 and 65,724 is: 140,815.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,676 : 65,724 = 65,724 : x
  2. Step 2: Convert to fraction form
    30,676/65,724 = 65,724/x
  3. Step 3: Cross multiply
    30,676x = 65,724 × 65,724
  4. Step 4: Simplify right side
    30,676x = 4,319,644,176
  5. Step 5: Solve for x
    x = 4,319,644,176/30,676
  6. Step 6: Final answer
    x = 140,815.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.