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Finding the Third Proportional to 276,871.50 and 433,751.63

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Solution

The third proportional to 276,871.50 and 433,751.63 is: 679,522.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,871.50 : 433,751.63 = 433,751.63 : x
  2. Step 2: Convert to fraction form
    276,871.50/433,751.63 = 433,751.63/x
  3. Step 3: Cross multiply
    276,871.50x = 433,751.63 × 433,751.63
  4. Step 4: Simplify right side
    276,871.50x = 188,140,472,190.14
  5. Step 5: Solve for x
    x = 188,140,472,190.14/276,871.50
  6. Step 6: Final answer
    x = 679,522.71

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.