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Finding the Third Proportional to 276,621 and 417,471

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Solution

The third proportional to 276,621 and 417,471 is: 630,039.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,621 : 417,471 = 417,471 : x
  2. Step 2: Convert to fraction form
    276,621/417,471 = 417,471/x
  3. Step 3: Cross multiply
    276,621x = 417,471 × 417,471
  4. Step 4: Simplify right side
    276,621x = 174,282,035,841
  5. Step 5: Solve for x
    x = 174,282,035,841/276,621
  6. Step 6: Final answer
    x = 630,039.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.