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Finding the Third Proportional to 285,828 and 609,612

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Solution

The third proportional to 285,828 and 609,612 is: 1,300,176.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,828 : 609,612 = 609,612 : x
  2. Step 2: Convert to fraction form
    285,828/609,612 = 609,612/x
  3. Step 3: Cross multiply
    285,828x = 609,612 × 609,612
  4. Step 4: Simplify right side
    285,828x = 371,626,790,544
  5. Step 5: Solve for x
    x = 371,626,790,544/285,828
  6. Step 6: Final answer
    x = 1,300,176.30

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.