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Finding the Third Proportional to 89,378 and 121,719

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Solution

The third proportional to 89,378 and 121,719 is: 165,762.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,378 : 121,719 = 121,719 : x
  2. Step 2: Convert to fraction form
    89,378/121,719 = 121,719/x
  3. Step 3: Cross multiply
    89,378x = 121,719 × 121,719
  4. Step 4: Simplify right side
    89,378x = 14,815,514,961
  5. Step 5: Solve for x
    x = 14,815,514,961/89,378
  6. Step 6: Final answer
    x = 165,762.44

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.