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Finding the Third Proportional to 260,728 and 372,130

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Solution

The third proportional to 260,728 and 372,130 is: 531,131.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,728 : 372,130 = 372,130 : x
  2. Step 2: Convert to fraction form
    260,728/372,130 = 372,130/x
  3. Step 3: Cross multiply
    260,728x = 372,130 × 372,130
  4. Step 4: Simplify right side
    260,728x = 138,480,736,900
  5. Step 5: Solve for x
    x = 138,480,736,900/260,728
  6. Step 6: Final answer
    x = 531,131.05

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.