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Finding the Third Proportional to 257,003.93 and 556,910.65

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Solution

The third proportional to 257,003.93 and 556,910.65 is: 1,206,788.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,003.93 : 556,910.65 = 556,910.65 : x
  2. Step 2: Convert to fraction form
    257,003.93/556,910.65 = 556,910.65/x
  3. Step 3: Cross multiply
    257,003.93x = 556,910.65 × 556,910.65
  4. Step 4: Simplify right side
    257,003.93x = 310,149,470,343.08
  5. Step 5: Solve for x
    x = 310,149,470,343.08/257,003.93
  6. Step 6: Final answer
    x = 1,206,788.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.