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Finding the Third Proportional to 120,438.56 and 284,828.06

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Solution

The third proportional to 120,438.56 and 284,828.06 is: 673,596.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,438.56 : 284,828.06 = 284,828.06 : x
  2. Step 2: Convert to fraction form
    120,438.56/284,828.06 = 284,828.06/x
  3. Step 3: Cross multiply
    120,438.56x = 284,828.06 × 284,828.06
  4. Step 4: Simplify right side
    120,438.56x = 81,127,025,187.50
  5. Step 5: Solve for x
    x = 81,127,025,187.50/120,438.56
  6. Step 6: Final answer
    x = 673,596.76

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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.