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Finding the Third Proportional to 63,072 and 137,344

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Solution

The third proportional to 63,072 and 137,344 is: 299,076.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,072 : 137,344 = 137,344 : x
  2. Step 2: Convert to fraction form
    63,072/137,344 = 137,344/x
  3. Step 3: Cross multiply
    63,072x = 137,344 × 137,344
  4. Step 4: Simplify right side
    63,072x = 18,863,374,336
  5. Step 5: Solve for x
    x = 18,863,374,336/63,072
  6. Step 6: Final answer
    x = 299,076.84

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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.