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Finding the Third Proportional to 427,329 and 651,847

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Solution

The third proportional to 427,329 and 651,847 is: 994,326.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,329 : 651,847 = 651,847 : x
  2. Step 2: Convert to fraction form
    427,329/651,847 = 651,847/x
  3. Step 3: Cross multiply
    427,329x = 651,847 × 651,847
  4. Step 4: Simplify right side
    427,329x = 424,904,511,409
  5. Step 5: Solve for x
    x = 424,904,511,409/427,329
  6. Step 6: Final answer
    x = 994,326.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.