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Finding the Third Proportional to 255,066 and 558,615

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Solution

The third proportional to 255,066 and 558,615 is: 1,223,411.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,066 : 558,615 = 558,615 : x
  2. Step 2: Convert to fraction form
    255,066/558,615 = 558,615/x
  3. Step 3: Cross multiply
    255,066x = 558,615 × 558,615
  4. Step 4: Simplify right side
    255,066x = 312,050,718,225
  5. Step 5: Solve for x
    x = 312,050,718,225/255,066
  6. Step 6: Final answer
    x = 1,223,411.66

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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.