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Finding the Third Proportional to 276,718.50 and 423,105.75

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Solution

The third proportional to 276,718.50 and 423,105.75 is: 646,933.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,718.50 : 423,105.75 = 423,105.75 : x
  2. Step 2: Convert to fraction form
    276,718.50/423,105.75 = 423,105.75/x
  3. Step 3: Cross multiply
    276,718.50x = 423,105.75 × 423,105.75
  4. Step 4: Simplify right side
    276,718.50x = 179,018,475,683.06
  5. Step 5: Solve for x
    x = 179,018,475,683.06/276,718.50
  6. Step 6: Final answer
    x = 646,933.53

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.