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Finding the Third Proportional to 50,220.84 and 80,746.03

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Solution

The third proportional to 50,220.84 and 80,746.03 is: 129,825.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,220.84 : 80,746.03 = 80,746.03 : x
  2. Step 2: Convert to fraction form
    50,220.84/80,746.03 = 80,746.03/x
  3. Step 3: Cross multiply
    50,220.84x = 80,746.03 × 80,746.03
  4. Step 4: Simplify right side
    50,220.84x = 6,519,921,562.63
  5. Step 5: Solve for x
    x = 6,519,921,562.63/50,220.84
  6. Step 6: Final answer
    x = 129,825.01

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.