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Finding the Third Proportional to 50,302.75 and 70,504

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Solution

The third proportional to 50,302.75 and 70,504 is: 98,817.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,302.75 : 70,504 = 70,504 : x
  2. Step 2: Convert to fraction form
    50,302.75/70,504 = 70,504/x
  3. Step 3: Cross multiply
    50,302.75x = 70,504 × 70,504
  4. Step 4: Simplify right side
    50,302.75x = 4,970,814,016
  5. Step 5: Solve for x
    x = 4,970,814,016/50,302.75
  6. Step 6: Final answer
    x = 98,817.94

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.