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Finding the Third Proportional to 255,132 and 558,742

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Solution

The third proportional to 255,132 and 558,742 is: 1,223,651.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,132 : 558,742 = 558,742 : x
  2. Step 2: Convert to fraction form
    255,132/558,742 = 558,742/x
  3. Step 3: Cross multiply
    255,132x = 558,742 × 558,742
  4. Step 4: Simplify right side
    255,132x = 312,192,622,564
  5. Step 5: Solve for x
    x = 312,192,622,564/255,132
  6. Step 6: Final answer
    x = 1,223,651.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.