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Finding the Third Proportional to 255,126 and 556,884

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Solution

The third proportional to 255,126 and 556,884 is: 1,215,555.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,126 : 556,884 = 556,884 : x
  2. Step 2: Convert to fraction form
    255,126/556,884 = 556,884/x
  3. Step 3: Cross multiply
    255,126x = 556,884 × 556,884
  4. Step 4: Simplify right side
    255,126x = 310,119,789,456
  5. Step 5: Solve for x
    x = 310,119,789,456/255,126
  6. Step 6: Final answer
    x = 1,215,555.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.