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Finding the Third Proportional to 257,028 and 556,962

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Solution

The third proportional to 257,028 and 556,962 is: 1,206,898.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,028 : 556,962 = 556,962 : x
  2. Step 2: Convert to fraction form
    257,028/556,962 = 556,962/x
  3. Step 3: Cross multiply
    257,028x = 556,962 × 556,962
  4. Step 4: Simplify right side
    257,028x = 310,206,669,444
  5. Step 5: Solve for x
    x = 310,206,669,444/257,028
  6. Step 6: Final answer
    x = 1,206,898.35

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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.