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Finding the Third Proportional to 32,402 and 50,763

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Solution

The third proportional to 32,402 and 50,763 is: 79,528.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,402 : 50,763 = 50,763 : x
  2. Step 2: Convert to fraction form
    32,402/50,763 = 50,763/x
  3. Step 3: Cross multiply
    32,402x = 50,763 × 50,763
  4. Step 4: Simplify right side
    32,402x = 2,576,882,169
  5. Step 5: Solve for x
    x = 2,576,882,169/32,402
  6. Step 6: Final answer
    x = 79,528.49

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.