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Finding the Third Proportional to 311,929.88 and 638,614.31

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Solution

The third proportional to 311,929.88 and 638,614.31 is: 1,307,435.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,929.88 : 638,614.31 = 638,614.31 : x
  2. Step 2: Convert to fraction form
    311,929.88/638,614.31 = 638,614.31/x
  3. Step 3: Cross multiply
    311,929.88x = 638,614.31 × 638,614.31
  4. Step 4: Simplify right side
    311,929.88x = 407,828,240,129.85
  5. Step 5: Solve for x
    x = 407,828,240,129.85/311,929.88
  6. Step 6: Final answer
    x = 1,307,435.65

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.