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Finding the Third Proportional to 276,256.88 and 389,935.13

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Solution

The third proportional to 276,256.88 and 389,935.13 is: 550,391.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,256.88 : 389,935.13 = 389,935.13 : x
  2. Step 2: Convert to fraction form
    276,256.88/389,935.13 = 389,935.13/x
  3. Step 3: Cross multiply
    276,256.88x = 389,935.13 × 389,935.13
  4. Step 4: Simplify right side
    276,256.88x = 152,049,401,708.77
  5. Step 5: Solve for x
    x = 152,049,401,708.77/276,256.88
  6. Step 6: Final answer
    x = 550,391.38

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.