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Finding the Third Proportional to 311,630.41 and 445,592.71

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Solution

The third proportional to 311,630.41 and 445,592.71 is: 637,142.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,630.41 : 445,592.71 = 445,592.71 : x
  2. Step 2: Convert to fraction form
    311,630.41/445,592.71 = 445,592.71/x
  3. Step 3: Cross multiply
    311,630.41x = 445,592.71 × 445,592.71
  4. Step 4: Simplify right side
    311,630.41x = 198,552,860,559.44
  5. Step 5: Solve for x
    x = 198,552,860,559.44/311,630.41
  6. Step 6: Final answer
    x = 637,142.11

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.