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Finding the Third Proportional to 304,709 and 705,305

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Solution

The third proportional to 304,709 and 705,305 is: 1,632,558.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,709 : 705,305 = 705,305 : x
  2. Step 2: Convert to fraction form
    304,709/705,305 = 705,305/x
  3. Step 3: Cross multiply
    304,709x = 705,305 × 705,305
  4. Step 4: Simplify right side
    304,709x = 497,455,143,025
  5. Step 5: Solve for x
    x = 497,455,143,025/304,709
  6. Step 6: Final answer
    x = 1,632,558.09

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.