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Finding the Third Proportional to 276,283.88 and 412,719.36

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Solution

The third proportional to 276,283.88 and 412,719.36 is: 616,529.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,283.88 : 412,719.36 = 412,719.36 : x
  2. Step 2: Convert to fraction form
    276,283.88/412,719.36 = 412,719.36/x
  3. Step 3: Cross multiply
    276,283.88x = 412,719.36 × 412,719.36
  4. Step 4: Simplify right side
    276,283.88x = 170,337,272,827.27
  5. Step 5: Solve for x
    x = 170,337,272,827.27/276,283.88
  6. Step 6: Final answer
    x = 616,529.90

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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.