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Finding the Third Proportional to 136,690 and 295,844

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Solution

The third proportional to 136,690 and 295,844 is: 640,307.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,690 : 295,844 = 295,844 : x
  2. Step 2: Convert to fraction form
    136,690/295,844 = 295,844/x
  3. Step 3: Cross multiply
    136,690x = 295,844 × 295,844
  4. Step 4: Simplify right side
    136,690x = 87,523,672,336
  5. Step 5: Solve for x
    x = 87,523,672,336/136,690
  6. Step 6: Final answer
    x = 640,307.79

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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.