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Finding the Third Proportional to 172,814 and 282,189

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Solution

The third proportional to 172,814 and 282,189 is: 460,788.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,814 : 282,189 = 282,189 : x
  2. Step 2: Convert to fraction form
    172,814/282,189 = 282,189/x
  3. Step 3: Cross multiply
    172,814x = 282,189 × 282,189
  4. Step 4: Simplify right side
    172,814x = 79,630,631,721
  5. Step 5: Solve for x
    x = 79,630,631,721/172,814
  6. Step 6: Final answer
    x = 460,788.08

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.