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Finding the Third Proportional to 76,970 and 165,401

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Solution

The third proportional to 76,970 and 165,401 is: 355,430.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,970 : 165,401 = 165,401 : x
  2. Step 2: Convert to fraction form
    76,970/165,401 = 165,401/x
  3. Step 3: Cross multiply
    76,970x = 165,401 × 165,401
  4. Step 4: Simplify right side
    76,970x = 27,357,490,801
  5. Step 5: Solve for x
    x = 27,357,490,801/76,970
  6. Step 6: Final answer
    x = 355,430.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.