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Finding the Third Proportional to 305,515 and 462,205

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Solution

The third proportional to 305,515 and 462,205 is: 699,256.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,515 : 462,205 = 462,205 : x
  2. Step 2: Convert to fraction form
    305,515/462,205 = 462,205/x
  3. Step 3: Cross multiply
    305,515x = 462,205 × 462,205
  4. Step 4: Simplify right side
    305,515x = 213,633,462,025
  5. Step 5: Solve for x
    x = 213,633,462,025/305,515
  6. Step 6: Final answer
    x = 699,256.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.