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Finding the Third Proportional to 255,389 and 518,074

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Solution

The third proportional to 255,389 and 518,074 is: 1,050,948.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,389 : 518,074 = 518,074 : x
  2. Step 2: Convert to fraction form
    255,389/518,074 = 518,074/x
  3. Step 3: Cross multiply
    255,389x = 518,074 × 518,074
  4. Step 4: Simplify right side
    255,389x = 268,400,669,476
  5. Step 5: Solve for x
    x = 268,400,669,476/255,389
  6. Step 6: Final answer
    x = 1,050,948.43

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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.