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Finding the Third Proportional to 168,888 and 312,861

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Solution

The third proportional to 168,888 and 312,861 is: 579,567.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,888 : 312,861 = 312,861 : x
  2. Step 2: Convert to fraction form
    168,888/312,861 = 312,861/x
  3. Step 3: Cross multiply
    168,888x = 312,861 × 312,861
  4. Step 4: Simplify right side
    168,888x = 97,882,005,321
  5. Step 5: Solve for x
    x = 97,882,005,321/168,888
  6. Step 6: Final answer
    x = 579,567.56

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.