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Finding the Third Proportional to 304,814 and 457,205

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Solution

The third proportional to 304,814 and 457,205 is: 685,783.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,814 : 457,205 = 457,205 : x
  2. Step 2: Convert to fraction form
    304,814/457,205 = 457,205/x
  3. Step 3: Cross multiply
    304,814x = 457,205 × 457,205
  4. Step 4: Simplify right side
    304,814x = 209,036,412,025
  5. Step 5: Solve for x
    x = 209,036,412,025/304,814
  6. Step 6: Final answer
    x = 685,783.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.