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Finding the Third Proportional to 62,642 and 136,840

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Solution

The third proportional to 62,642 and 136,840 is: 298,923.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,642 : 136,840 = 136,840 : x
  2. Step 2: Convert to fraction form
    62,642/136,840 = 136,840/x
  3. Step 3: Cross multiply
    62,642x = 136,840 × 136,840
  4. Step 4: Simplify right side
    62,642x = 18,725,185,600
  5. Step 5: Solve for x
    x = 18,725,185,600/62,642
  6. Step 6: Final answer
    x = 298,923.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.