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Finding the Third Proportional to 120,418.31 and 284,779.13

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Solution

The third proportional to 120,418.31 and 284,779.13 is: 673,478.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,418.31 : 284,779.13 = 284,779.13 : x
  2. Step 2: Convert to fraction form
    120,418.31/284,779.13 = 284,779.13/x
  3. Step 3: Cross multiply
    120,418.31x = 284,779.13 × 284,779.13
  4. Step 4: Simplify right side
    120,418.31x = 81,099,150,035.77
  5. Step 5: Solve for x
    x = 81,099,150,035.77/120,418.31
  6. Step 6: Final answer
    x = 673,478.55

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.