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Finding the Third Proportional to 78,408 and 164,106

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Solution

The third proportional to 78,408 and 164,106 is: 343,469.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,408 : 164,106 = 164,106 : x
  2. Step 2: Convert to fraction form
    78,408/164,106 = 164,106/x
  3. Step 3: Cross multiply
    78,408x = 164,106 × 164,106
  4. Step 4: Simplify right side
    78,408x = 26,930,779,236
  5. Step 5: Solve for x
    x = 26,930,779,236/78,408
  6. Step 6: Final answer
    x = 343,469.79

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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.