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Finding the Third Proportional to 276,218 and 601,642

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Solution

The third proportional to 276,218 and 601,642 is: 1,310,461.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,218 : 601,642 = 601,642 : x
  2. Step 2: Convert to fraction form
    276,218/601,642 = 601,642/x
  3. Step 3: Cross multiply
    276,218x = 601,642 × 601,642
  4. Step 4: Simplify right side
    276,218x = 361,973,096,164
  5. Step 5: Solve for x
    x = 361,973,096,164/276,218
  6. Step 6: Final answer
    x = 1,310,461.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.