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Finding the Third Proportional to 84,402 and 121,743

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Solution

The third proportional to 84,402 and 121,743 is: 175,604.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,402 : 121,743 = 121,743 : x
  2. Step 2: Convert to fraction form
    84,402/121,743 = 121,743/x
  3. Step 3: Cross multiply
    84,402x = 121,743 × 121,743
  4. Step 4: Simplify right side
    84,402x = 14,821,358,049
  5. Step 5: Solve for x
    x = 14,821,358,049/84,402
  6. Step 6: Final answer
    x = 175,604.35

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.