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Finding the Third Proportional to 172,834 and 282,221

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Solution

The third proportional to 172,834 and 282,221 is: 460,839.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,834 : 282,221 = 282,221 : x
  2. Step 2: Convert to fraction form
    172,834/282,221 = 282,221/x
  3. Step 3: Cross multiply
    172,834x = 282,221 × 282,221
  4. Step 4: Simplify right side
    172,834x = 79,648,692,841
  5. Step 5: Solve for x
    x = 79,648,692,841/172,834
  6. Step 6: Final answer
    x = 460,839.26

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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.