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Finding the Third Proportional to 84,436 and 129,462

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Solution

The third proportional to 84,436 and 129,462 is: 198,498.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,436 : 129,462 = 129,462 : x
  2. Step 2: Convert to fraction form
    84,436/129,462 = 129,462/x
  3. Step 3: Cross multiply
    84,436x = 129,462 × 129,462
  4. Step 4: Simplify right side
    84,436x = 16,760,409,444
  5. Step 5: Solve for x
    x = 16,760,409,444/84,436
  6. Step 6: Final answer
    x = 198,498.38

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.