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Finding the Third Proportional to 172,858 and 282,259

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Solution

The third proportional to 172,858 and 282,259 is: 460,899.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,858 : 282,259 = 282,259 : x
  2. Step 2: Convert to fraction form
    172,858/282,259 = 282,259/x
  3. Step 3: Cross multiply
    172,858x = 282,259 × 282,259
  4. Step 4: Simplify right side
    172,858x = 79,670,143,081
  5. Step 5: Solve for x
    x = 79,670,143,081/172,858
  6. Step 6: Final answer
    x = 460,899.37

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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.