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Finding the Third Proportional to 299,058 and 426,555

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Solution

The third proportional to 299,058 and 426,555 is: 608,407.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,058 : 426,555 = 426,555 : x
  2. Step 2: Convert to fraction form
    299,058/426,555 = 426,555/x
  3. Step 3: Cross multiply
    299,058x = 426,555 × 426,555
  4. Step 4: Simplify right side
    299,058x = 181,949,168,025
  5. Step 5: Solve for x
    x = 181,949,168,025/299,058
  6. Step 6: Final answer
    x = 608,407.63

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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.