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Finding the Third Proportional to 136,689.50 and 295,843

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Solution

The third proportional to 136,689.50 and 295,843 is: 640,305.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,689.50 : 295,843 = 295,843 : x
  2. Step 2: Convert to fraction form
    136,689.50/295,843 = 295,843/x
  3. Step 3: Cross multiply
    136,689.50x = 295,843 × 295,843
  4. Step 4: Simplify right side
    136,689.50x = 87,523,080,649
  5. Step 5: Solve for x
    x = 87,523,080,649/136,689.50
  6. Step 6: Final answer
    x = 640,305.81

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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.