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Finding the Third Proportional to 39,143 and 52,436

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Solution

The third proportional to 39,143 and 52,436 is: 70,243.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,143 : 52,436 = 52,436 : x
  2. Step 2: Convert to fraction form
    39,143/52,436 = 52,436/x
  3. Step 3: Cross multiply
    39,143x = 52,436 × 52,436
  4. Step 4: Simplify right side
    39,143x = 2,749,534,096
  5. Step 5: Solve for x
    x = 2,749,534,096/39,143
  6. Step 6: Final answer
    x = 70,243.32

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.