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Finding the Third Proportional to 76,276 and 164,031.50

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Solution

The third proportional to 76,276 and 164,031.50 is: 352,749.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,276 : 164,031.50 = 164,031.50 : x
  2. Step 2: Convert to fraction form
    76,276/164,031.50 = 164,031.50/x
  3. Step 3: Cross multiply
    76,276x = 164,031.50 × 164,031.50
  4. Step 4: Simplify right side
    76,276x = 26,906,332,992.25
  5. Step 5: Solve for x
    x = 26,906,332,992.25/76,276
  6. Step 6: Final answer
    x = 352,749.66

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