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Finding the Third Proportional to 62,400 and 136,460

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Solution

The third proportional to 62,400 and 136,460 is: 298,418.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,400 : 136,460 = 136,460 : x
  2. Step 2: Convert to fraction form
    62,400/136,460 = 136,460/x
  3. Step 3: Cross multiply
    62,400x = 136,460 × 136,460
  4. Step 4: Simplify right side
    62,400x = 18,621,331,600
  5. Step 5: Solve for x
    x = 18,621,331,600/62,400
  6. Step 6: Final answer
    x = 298,418.78

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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.