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Finding the Third Proportional to 120,421.13 and 284,784.75

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Solution

The third proportional to 120,421.13 and 284,784.75 is: 673,489.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,421.13 : 284,784.75 = 284,784.75 : x
  2. Step 2: Convert to fraction form
    120,421.13/284,784.75 = 284,784.75/x
  3. Step 3: Cross multiply
    120,421.13x = 284,784.75 × 284,784.75
  4. Step 4: Simplify right side
    120,421.13x = 81,102,353,832.56
  5. Step 5: Solve for x
    x = 81,102,353,832.56/120,421.13
  6. Step 6: Final answer
    x = 673,489.42

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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.