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Finding the Third Proportional to 32,402 and 65,956

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Solution

The third proportional to 32,402 and 65,956 is: 134,256.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,402 : 65,956 = 65,956 : x
  2. Step 2: Convert to fraction form
    32,402/65,956 = 65,956/x
  3. Step 3: Cross multiply
    32,402x = 65,956 × 65,956
  4. Step 4: Simplify right side
    32,402x = 4,350,193,936
  5. Step 5: Solve for x
    x = 4,350,193,936/32,402
  6. Step 6: Final answer
    x = 134,256.96

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.