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Finding the Third Proportional to 30,638 and 62,572

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Solution

The third proportional to 30,638 and 62,572 is: 127,790.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,638 : 62,572 = 62,572 : x
  2. Step 2: Convert to fraction form
    30,638/62,572 = 62,572/x
  3. Step 3: Cross multiply
    30,638x = 62,572 × 62,572
  4. Step 4: Simplify right side
    30,638x = 3,915,255,184
  5. Step 5: Solve for x
    x = 3,915,255,184/30,638
  6. Step 6: Final answer
    x = 127,790.82

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.