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Finding the Third Proportional to 285,126.75 and 398,626.31

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Solution

The third proportional to 285,126.75 and 398,626.31 is: 557,306.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,126.75 : 398,626.31 = 398,626.31 : x
  2. Step 2: Convert to fraction form
    285,126.75/398,626.31 = 398,626.31/x
  3. Step 3: Cross multiply
    285,126.75x = 398,626.31 × 398,626.31
  4. Step 4: Simplify right side
    285,126.75x = 158,902,937,017.35
  5. Step 5: Solve for x
    x = 158,902,937,017.35/285,126.75
  6. Step 6: Final answer
    x = 557,306.31

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.