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Finding the Third Proportional to 136,740 and 299,400

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Solution

The third proportional to 136,740 and 299,400 is: 655,553.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,740 : 299,400 = 299,400 : x
  2. Step 2: Convert to fraction form
    136,740/299,400 = 299,400/x
  3. Step 3: Cross multiply
    136,740x = 299,400 × 299,400
  4. Step 4: Simplify right side
    136,740x = 89,640,360,000
  5. Step 5: Solve for x
    x = 89,640,360,000/136,740
  6. Step 6: Final answer
    x = 655,553.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.