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Finding the Third Proportional to 80,703.84 and 102,327.05

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Solution

The third proportional to 80,703.84 and 102,327.05 is: 129,743.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,703.84 : 102,327.05 = 102,327.05 : x
  2. Step 2: Convert to fraction form
    80,703.84/102,327.05 = 102,327.05/x
  3. Step 3: Cross multiply
    80,703.84x = 102,327.05 × 102,327.05
  4. Step 4: Simplify right side
    80,703.84x = 10,470,824,522.16
  5. Step 5: Solve for x
    x = 10,470,824,522.16/80,703.84
  6. Step 6: Final answer
    x = 129,743.81

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.