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Finding the Third Proportional to 415,633.50 and 531,081.56

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Solution

The third proportional to 415,633.50 and 531,081.56 is: 678,596.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,633.50 : 531,081.56 = 531,081.56 : x
  2. Step 2: Convert to fraction form
    415,633.50/531,081.56 = 531,081.56/x
  3. Step 3: Cross multiply
    415,633.50x = 531,081.56 × 531,081.56
  4. Step 4: Simplify right side
    415,633.50x = 282,047,626,027.44
  5. Step 5: Solve for x
    x = 282,047,626,027.44/415,633.50
  6. Step 6: Final answer
    x = 678,596.95

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.