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Finding the Third Proportional to 276,765.75 and 413,012.81

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Solution

The third proportional to 276,765.75 and 413,012.81 is: 616,331.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,765.75 : 413,012.81 = 413,012.81 : x
  2. Step 2: Convert to fraction form
    276,765.75/413,012.81 = 413,012.81/x
  3. Step 3: Cross multiply
    276,765.75x = 413,012.81 × 413,012.81
  4. Step 4: Simplify right side
    276,765.75x = 170,579,583,289.16
  5. Step 5: Solve for x
    x = 170,579,583,289.16/276,765.75
  6. Step 6: Final answer
    x = 616,331.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.