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Finding the Third Proportional to 76,900 and 108,242

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Solution

The third proportional to 76,900 and 108,242 is: 152,358.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,900 : 108,242 = 108,242 : x
  2. Step 2: Convert to fraction form
    76,900/108,242 = 108,242/x
  3. Step 3: Cross multiply
    76,900x = 108,242 × 108,242
  4. Step 4: Simplify right side
    76,900x = 11,716,330,564
  5. Step 5: Solve for x
    x = 11,716,330,564/76,900
  6. Step 6: Final answer
    x = 152,358.00

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.