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Finding the Third Proportional to 39,719 and 58,242

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Solution

The third proportional to 39,719 and 58,242 is: 85,403.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,719 : 58,242 = 58,242 : x
  2. Step 2: Convert to fraction form
    39,719/58,242 = 58,242/x
  3. Step 3: Cross multiply
    39,719x = 58,242 × 58,242
  4. Step 4: Simplify right side
    39,719x = 3,392,130,564
  5. Step 5: Solve for x
    x = 3,392,130,564/39,719
  6. Step 6: Final answer
    x = 85,403.22

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.