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Finding the Third Proportional to 276,560 and 417,386

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Solution

The third proportional to 276,560 and 417,386 is: 629,921.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,560 : 417,386 = 417,386 : x
  2. Step 2: Convert to fraction form
    276,560/417,386 = 417,386/x
  3. Step 3: Cross multiply
    276,560x = 417,386 × 417,386
  4. Step 4: Simplify right side
    276,560x = 174,211,072,996
  5. Step 5: Solve for x
    x = 174,211,072,996/276,560
  6. Step 6: Final answer
    x = 629,921.44

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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.