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Finding the Third Proportional to 77,742 and 162,389

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Solution

The third proportional to 77,742 and 162,389 is: 339,201.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,742 : 162,389 = 162,389 : x
  2. Step 2: Convert to fraction form
    77,742/162,389 = 162,389/x
  3. Step 3: Cross multiply
    77,742x = 162,389 × 162,389
  4. Step 4: Simplify right side
    77,742x = 26,370,187,321
  5. Step 5: Solve for x
    x = 26,370,187,321/77,742
  6. Step 6: Final answer
    x = 339,201.30

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.