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Finding the Third Proportional to 136,688 and 295,834

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Solution

The third proportional to 136,688 and 295,834 is: 640,273.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,688 : 295,834 = 295,834 : x
  2. Step 2: Convert to fraction form
    136,688/295,834 = 295,834/x
  3. Step 3: Cross multiply
    136,688x = 295,834 × 295,834
  4. Step 4: Simplify right side
    136,688x = 87,517,755,556
  5. Step 5: Solve for x
    x = 87,517,755,556/136,688
  6. Step 6: Final answer
    x = 640,273.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.