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Finding the Third Proportional to 324,112 and 512,807

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Solution

The third proportional to 324,112 and 512,807 is: 811,358.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,112 : 512,807 = 512,807 : x
  2. Step 2: Convert to fraction form
    324,112/512,807 = 512,807/x
  3. Step 3: Cross multiply
    324,112x = 512,807 × 512,807
  4. Step 4: Simplify right side
    324,112x = 262,971,019,249
  5. Step 5: Solve for x
    x = 262,971,019,249/324,112
  6. Step 6: Final answer
    x = 811,358.48

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.