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Finding the Third Proportional to 346,320 and 518,086

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Solution

The third proportional to 346,320 and 518,086 is: 775,043.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,320 : 518,086 = 518,086 : x
  2. Step 2: Convert to fraction form
    346,320/518,086 = 518,086/x
  3. Step 3: Cross multiply
    346,320x = 518,086 × 518,086
  4. Step 4: Simplify right side
    346,320x = 268,413,103,396
  5. Step 5: Solve for x
    x = 268,413,103,396/346,320
  6. Step 6: Final answer
    x = 775,043.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.