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Finding the Third Proportional to 136,678 and 295,820

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Solution

The third proportional to 136,678 and 295,820 is: 640,260.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,678 : 295,820 = 295,820 : x
  2. Step 2: Convert to fraction form
    136,678/295,820 = 295,820/x
  3. Step 3: Cross multiply
    136,678x = 295,820 × 295,820
  4. Step 4: Simplify right side
    136,678x = 87,509,472,400
  5. Step 5: Solve for x
    x = 87,509,472,400/136,678
  6. Step 6: Final answer
    x = 640,260.12

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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.