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Finding the Third Proportional to 255,391 and 518,078

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Solution

The third proportional to 255,391 and 518,078 is: 1,050,956.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,391 : 518,078 = 518,078 : x
  2. Step 2: Convert to fraction form
    255,391/518,078 = 518,078/x
  3. Step 3: Cross multiply
    255,391x = 518,078 × 518,078
  4. Step 4: Simplify right side
    255,391x = 268,404,814,084
  5. Step 5: Solve for x
    x = 268,404,814,084/255,391
  6. Step 6: Final answer
    x = 1,050,956.43

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.