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Finding the Third Proportional to 61,728 and 135,072

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Solution

The third proportional to 61,728 and 135,072 is: 295,561.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,728 : 135,072 = 135,072 : x
  2. Step 2: Convert to fraction form
    61,728/135,072 = 135,072/x
  3. Step 3: Cross multiply
    61,728x = 135,072 × 135,072
  4. Step 4: Simplify right side
    61,728x = 18,244,445,184
  5. Step 5: Solve for x
    x = 18,244,445,184/61,728
  6. Step 6: Final answer
    x = 295,561.90

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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.