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Finding the Third Proportional to 30,008 and 64,634

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Solution

The third proportional to 30,008 and 64,634 is: 139,214.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,008 : 64,634 = 64,634 : x
  2. Step 2: Convert to fraction form
    30,008/64,634 = 64,634/x
  3. Step 3: Cross multiply
    30,008x = 64,634 × 64,634
  4. Step 4: Simplify right side
    30,008x = 4,177,553,956
  5. Step 5: Solve for x
    x = 4,177,553,956/30,008
  6. Step 6: Final answer
    x = 139,214.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.