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Finding the Third Proportional to 63,072 and 138,240

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Solution

The third proportional to 63,072 and 138,240 is: 302,991.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,072 : 138,240 = 138,240 : x
  2. Step 2: Convert to fraction form
    63,072/138,240 = 138,240/x
  3. Step 3: Cross multiply
    63,072x = 138,240 × 138,240
  4. Step 4: Simplify right side
    63,072x = 19,110,297,600
  5. Step 5: Solve for x
    x = 19,110,297,600/63,072
  6. Step 6: Final answer
    x = 302,991.78

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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.