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Finding the Third Proportional to 276,843.45 and 433,717.98

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Solution

The third proportional to 276,843.45 and 433,717.98 is: 679,486.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,843.45 : 433,717.98 = 433,717.98 : x
  2. Step 2: Convert to fraction form
    276,843.45/433,717.98 = 433,717.98/x
  3. Step 3: Cross multiply
    276,843.45x = 433,717.98 × 433,717.98
  4. Step 4: Simplify right side
    276,843.45x = 188,111,286,581.89
  5. Step 5: Solve for x
    x = 188,111,286,581.89/276,843.45
  6. Step 6: Final answer
    x = 679,486.15

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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.