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Finding the Third Proportional to 253,145 and 556,818

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Solution

The third proportional to 253,145 and 556,818 is: 1,224,777.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,145 : 556,818 = 556,818 : x
  2. Step 2: Convert to fraction form
    253,145/556,818 = 556,818/x
  3. Step 3: Cross multiply
    253,145x = 556,818 × 556,818
  4. Step 4: Simplify right side
    253,145x = 310,046,285,124
  5. Step 5: Solve for x
    x = 310,046,285,124/253,145
  6. Step 6: Final answer
    x = 1,224,777.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.