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Finding the Third Proportional to 30,690 and 62,670

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Solution

The third proportional to 30,690 and 62,670 is: 127,974.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,690 : 62,670 = 62,670 : x
  2. Step 2: Convert to fraction form
    30,690/62,670 = 62,670/x
  3. Step 3: Cross multiply
    30,690x = 62,670 × 62,670
  4. Step 4: Simplify right side
    30,690x = 3,927,528,900
  5. Step 5: Solve for x
    x = 3,927,528,900/30,690
  6. Step 6: Final answer
    x = 127,974.22

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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.