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Finding the Third Proportional to 136,940 and 296,344

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Solution

The third proportional to 136,940 and 296,344 is: 641,301.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,940 : 296,344 = 296,344 : x
  2. Step 2: Convert to fraction form
    136,940/296,344 = 296,344/x
  3. Step 3: Cross multiply
    136,940x = 296,344 × 296,344
  4. Step 4: Simplify right side
    136,940x = 87,819,766,336
  5. Step 5: Solve for x
    x = 87,819,766,336/136,940
  6. Step 6: Final answer
    x = 641,301.05

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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.