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Finding the Third Proportional to 292,626 and 628,911

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Solution

The third proportional to 292,626 and 628,911 is: 1,351,653.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,626 : 628,911 = 628,911 : x
  2. Step 2: Convert to fraction form
    292,626/628,911 = 628,911/x
  3. Step 3: Cross multiply
    292,626x = 628,911 × 628,911
  4. Step 4: Simplify right side
    292,626x = 395,529,045,921
  5. Step 5: Solve for x
    x = 395,529,045,921/292,626
  6. Step 6: Final answer
    x = 1,351,653.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.