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Finding the Third Proportional to 257,004.75 and 556,913.25

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Solution

The third proportional to 257,004.75 and 556,913.25 is: 1,206,796.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,004.75 : 556,913.25 = 556,913.25 : x
  2. Step 2: Convert to fraction form
    257,004.75/556,913.25 = 556,913.25/x
  3. Step 3: Cross multiply
    257,004.75x = 556,913.25 × 556,913.25
  4. Step 4: Simplify right side
    257,004.75x = 310,152,368,025.56
  5. Step 5: Solve for x
    x = 310,152,368,025.56/257,004.75
  6. Step 6: Final answer
    x = 1,206,796.25

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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.