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Finding the Third Proportional to 39,809 and 56,586

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Solution

The third proportional to 39,809 and 56,586 is: 80,433.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,809 : 56,586 = 56,586 : x
  2. Step 2: Convert to fraction form
    39,809/56,586 = 56,586/x
  3. Step 3: Cross multiply
    39,809x = 56,586 × 56,586
  4. Step 4: Simplify right side
    39,809x = 3,201,975,396
  5. Step 5: Solve for x
    x = 3,201,975,396/39,809
  6. Step 6: Final answer
    x = 80,433.45

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.