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Finding the Third Proportional to 255,068 and 558,619

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Solution

The third proportional to 255,068 and 558,619 is: 1,223,419.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,068 : 558,619 = 558,619 : x
  2. Step 2: Convert to fraction form
    255,068/558,619 = 558,619/x
  3. Step 3: Cross multiply
    255,068x = 558,619 × 558,619
  4. Step 4: Simplify right side
    255,068x = 312,055,187,161
  5. Step 5: Solve for x
    x = 312,055,187,161/255,068
  6. Step 6: Final answer
    x = 1,223,419.59

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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.