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Finding the Third Proportional to 262,990 and 372,128

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Solution

The third proportional to 262,990 and 372,128 is: 526,557.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,990 : 372,128 = 372,128 : x
  2. Step 2: Convert to fraction form
    262,990/372,128 = 372,128/x
  3. Step 3: Cross multiply
    262,990x = 372,128 × 372,128
  4. Step 4: Simplify right side
    262,990x = 138,479,248,384
  5. Step 5: Solve for x
    x = 138,479,248,384/262,990
  6. Step 6: Final answer
    x = 526,557.09

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.