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Finding the Third Proportional to 276,850 and 395,895

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Solution

The third proportional to 276,850 and 395,895 is: 566,129.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,850 : 395,895 = 395,895 : x
  2. Step 2: Convert to fraction form
    276,850/395,895 = 395,895/x
  3. Step 3: Cross multiply
    276,850x = 395,895 × 395,895
  4. Step 4: Simplify right side
    276,850x = 156,732,851,025
  5. Step 5: Solve for x
    x = 156,732,851,025/276,850
  6. Step 6: Final answer
    x = 566,129.14

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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.