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Finding the Third Proportional to 339,586.80 and 459,557.61

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Solution

The third proportional to 339,586.80 and 459,557.61 is: 621,912.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,586.80 : 459,557.61 = 459,557.61 : x
  2. Step 2: Convert to fraction form
    339,586.80/459,557.61 = 459,557.61/x
  3. Step 3: Cross multiply
    339,586.80x = 459,557.61 × 459,557.61
  4. Step 4: Simplify right side
    339,586.80x = 211,193,199,924.76
  5. Step 5: Solve for x
    x = 211,193,199,924.76/339,586.80
  6. Step 6: Final answer
    x = 621,912.27

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.