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Finding the Third Proportional to 30,663.56 and 80,721.56

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Solution

The third proportional to 30,663.56 and 80,721.56 is: 212,498.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,663.56 : 80,721.56 = 80,721.56 : x
  2. Step 2: Convert to fraction form
    30,663.56/80,721.56 = 80,721.56/x
  3. Step 3: Cross multiply
    30,663.56x = 80,721.56 × 80,721.56
  4. Step 4: Simplify right side
    30,663.56x = 6,515,970,652.44
  5. Step 5: Solve for x
    x = 6,515,970,652.44/30,663.56
  6. Step 6: Final answer
    x = 212,498.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.