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Finding the Third Proportional to 255,039 and 558,558

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Solution

The third proportional to 255,039 and 558,558 is: 1,223,291.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,039 : 558,558 = 558,558 : x
  2. Step 2: Convert to fraction form
    255,039/558,558 = 558,558/x
  3. Step 3: Cross multiply
    255,039x = 558,558 × 558,558
  4. Step 4: Simplify right side
    255,039x = 311,987,039,364
  5. Step 5: Solve for x
    x = 311,987,039,364/255,039
  6. Step 6: Final answer
    x = 1,223,291.49

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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.