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Finding the Third Proportional to 39,507 and 86,742

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Solution

The third proportional to 39,507 and 86,742 is: 190,451.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,507 : 86,742 = 86,742 : x
  2. Step 2: Convert to fraction form
    39,507/86,742 = 86,742/x
  3. Step 3: Cross multiply
    39,507x = 86,742 × 86,742
  4. Step 4: Simplify right side
    39,507x = 7,524,174,564
  5. Step 5: Solve for x
    x = 7,524,174,564/39,507
  6. Step 6: Final answer
    x = 190,451.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.