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Finding the Third Proportional to 255,387 and 518,070

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Solution

The third proportional to 255,387 and 518,070 is: 1,050,940.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,387 : 518,070 = 518,070 : x
  2. Step 2: Convert to fraction form
    255,387/518,070 = 518,070/x
  3. Step 3: Cross multiply
    255,387x = 518,070 × 518,070
  4. Step 4: Simplify right side
    255,387x = 268,396,524,900
  5. Step 5: Solve for x
    x = 268,396,524,900/255,387
  6. Step 6: Final answer
    x = 1,050,940.44

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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.