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Finding the Third Proportional to 168,518 and 357,817

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Solution

The third proportional to 168,518 and 357,817 is: 759,758.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,518 : 357,817 = 357,817 : x
  2. Step 2: Convert to fraction form
    168,518/357,817 = 357,817/x
  3. Step 3: Cross multiply
    168,518x = 357,817 × 357,817
  4. Step 4: Simplify right side
    168,518x = 128,033,005,489
  5. Step 5: Solve for x
    x = 128,033,005,489/168,518
  6. Step 6: Final answer
    x = 759,758.63

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.