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Finding the Third Proportional to 311,715 and 445,770

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Solution

The third proportional to 311,715 and 445,770 is: 637,476.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,715 : 445,770 = 445,770 : x
  2. Step 2: Convert to fraction form
    311,715/445,770 = 445,770/x
  3. Step 3: Cross multiply
    311,715x = 445,770 × 445,770
  4. Step 4: Simplify right side
    311,715x = 198,710,892,900
  5. Step 5: Solve for x
    x = 198,710,892,900/311,715
  6. Step 6: Final answer
    x = 637,476.20

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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.