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Finding the Third Proportional to 255,074 and 558,631

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Solution

The third proportional to 255,074 and 558,631 is: 1,223,443.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,074 : 558,631 = 558,631 : x
  2. Step 2: Convert to fraction form
    255,074/558,631 = 558,631/x
  3. Step 3: Cross multiply
    255,074x = 558,631 × 558,631
  4. Step 4: Simplify right side
    255,074x = 312,068,594,161
  5. Step 5: Solve for x
    x = 312,068,594,161/255,074
  6. Step 6: Final answer
    x = 1,223,443.37

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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.