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Finding the Third Proportional to 156,254 and 324,778

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Solution

The third proportional to 156,254 and 324,778 is: 675,059.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,254 : 324,778 = 324,778 : x
  2. Step 2: Convert to fraction form
    156,254/324,778 = 324,778/x
  3. Step 3: Cross multiply
    156,254x = 324,778 × 324,778
  4. Step 4: Simplify right side
    156,254x = 105,480,749,284
  5. Step 5: Solve for x
    x = 105,480,749,284/156,254
  6. Step 6: Final answer
    x = 675,059.51

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.