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Finding the Third Proportional to 311,952.94 and 638,690.63

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Solution

The third proportional to 311,952.94 and 638,690.63 is: 1,307,651.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,952.94 : 638,690.63 = 638,690.63 : x
  2. Step 2: Convert to fraction form
    311,952.94/638,690.63 = 638,690.63/x
  3. Step 3: Cross multiply
    311,952.94x = 638,690.63 × 638,690.63
  4. Step 4: Simplify right side
    311,952.94x = 407,925,714,462.89
  5. Step 5: Solve for x
    x = 407,925,714,462.89/311,952.94
  6. Step 6: Final answer
    x = 1,307,651.46

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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.