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Finding the Third Proportional to 136,690 and 295,838

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Solution

The third proportional to 136,690 and 295,838 is: 640,281.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,690 : 295,838 = 295,838 : x
  2. Step 2: Convert to fraction form
    136,690/295,838 = 295,838/x
  3. Step 3: Cross multiply
    136,690x = 295,838 × 295,838
  4. Step 4: Simplify right side
    136,690x = 87,520,122,244
  5. Step 5: Solve for x
    x = 87,520,122,244/136,690
  6. Step 6: Final answer
    x = 640,281.82

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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.