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Finding the Third Proportional to 136,681 and 295,825

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Solution

The third proportional to 136,681 and 295,825 is: 640,267.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,681 : 295,825 = 295,825 : x
  2. Step 2: Convert to fraction form
    136,681/295,825 = 295,825/x
  3. Step 3: Cross multiply
    136,681x = 295,825 × 295,825
  4. Step 4: Simplify right side
    136,681x = 87,512,430,625
  5. Step 5: Solve for x
    x = 87,512,430,625/136,681
  6. Step 6: Final answer
    x = 640,267.71

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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.