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Finding the Third Proportional to 405,271.50 and 635,721.75

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Solution

The third proportional to 405,271.50 and 635,721.75 is: 997,213.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,271.50 : 635,721.75 = 635,721.75 : x
  2. Step 2: Convert to fraction form
    405,271.50/635,721.75 = 635,721.75/x
  3. Step 3: Cross multiply
    405,271.50x = 635,721.75 × 635,721.75
  4. Step 4: Simplify right side
    405,271.50x = 404,142,143,423.06
  5. Step 5: Solve for x
    x = 404,142,143,423.06/405,271.50
  6. Step 6: Final answer
    x = 997,213.33

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.