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Finding the Third Proportional to 312,877.69 and 437,354.44

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Solution

The third proportional to 312,877.69 and 437,354.44 is: 611,353.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,877.69 : 437,354.44 = 437,354.44 : x
  2. Step 2: Convert to fraction form
    312,877.69/437,354.44 = 437,354.44/x
  3. Step 3: Cross multiply
    312,877.69x = 437,354.44 × 437,354.44
  4. Step 4: Simplify right side
    312,877.69x = 191,278,904,000.94
  5. Step 5: Solve for x
    x = 191,278,904,000.94/312,877.69
  6. Step 6: Final answer
    x = 611,353.61

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.