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Finding the Third Proportional to 276,819.19 and 433,684.13

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Solution

The third proportional to 276,819.19 and 433,684.13 is: 679,439.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,819.19 : 433,684.13 = 433,684.13 : x
  2. Step 2: Convert to fraction form
    276,819.19/433,684.13 = 433,684.13/x
  3. Step 3: Cross multiply
    276,819.19x = 433,684.13 × 433,684.13
  4. Step 4: Simplify right side
    276,819.19x = 188,081,920,277.02
  5. Step 5: Solve for x
    x = 188,081,920,277.02/276,819.19
  6. Step 6: Final answer
    x = 679,439.61

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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.