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Finding the Third Proportional to 30,623.70 and 67,455.28

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Solution

The third proportional to 30,623.70 and 67,455.28 is: 148,584.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,623.70 : 67,455.28 = 67,455.28 : x
  2. Step 2: Convert to fraction form
    30,623.70/67,455.28 = 67,455.28/x
  3. Step 3: Cross multiply
    30,623.70x = 67,455.28 × 67,455.28
  4. Step 4: Simplify right side
    30,623.70x = 4,550,214,968.52
  5. Step 5: Solve for x
    x = 4,550,214,968.52/30,623.70
  6. Step 6: Final answer
    x = 148,584.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.