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Finding the Third Proportional to 136,689 and 295,842

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Solution

The third proportional to 136,689 and 295,842 is: 640,303.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,689 : 295,842 = 295,842 : x
  2. Step 2: Convert to fraction form
    136,689/295,842 = 295,842/x
  3. Step 3: Cross multiply
    136,689x = 295,842 × 295,842
  4. Step 4: Simplify right side
    136,689x = 87,522,488,964
  5. Step 5: Solve for x
    x = 87,522,488,964/136,689
  6. Step 6: Final answer
    x = 640,303.82

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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.