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Finding the Third Proportional to 324,207 and 520,906.50

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Solution

The third proportional to 324,207 and 520,906.50 is: 836,945.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,207 : 520,906.50 = 520,906.50 : x
  2. Step 2: Convert to fraction form
    324,207/520,906.50 = 520,906.50/x
  3. Step 3: Cross multiply
    324,207x = 520,906.50 × 520,906.50
  4. Step 4: Simplify right side
    324,207x = 271,343,581,742.25
  5. Step 5: Solve for x
    x = 271,343,581,742.25/324,207
  6. Step 6: Final answer
    x = 836,945.48

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.