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Finding the Third Proportional to 30,678 and 67,062.75

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Solution

The third proportional to 30,678 and 67,062.75 is: 146,600.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,678 : 67,062.75 = 67,062.75 : x
  2. Step 2: Convert to fraction form
    30,678/67,062.75 = 67,062.75/x
  3. Step 3: Cross multiply
    30,678x = 67,062.75 × 67,062.75
  4. Step 4: Simplify right side
    30,678x = 4,497,412,437.56
  5. Step 5: Solve for x
    x = 4,497,412,437.56/30,678
  6. Step 6: Final answer
    x = 146,600.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.