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Finding the Third Proportional to 68,013 and 148,072

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Solution

The third proportional to 68,013 and 148,072 is: 322,369.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,013 : 148,072 = 148,072 : x
  2. Step 2: Convert to fraction form
    68,013/148,072 = 148,072/x
  3. Step 3: Cross multiply
    68,013x = 148,072 × 148,072
  4. Step 4: Simplify right side
    68,013x = 21,925,317,184
  5. Step 5: Solve for x
    x = 21,925,317,184/68,013
  6. Step 6: Final answer
    x = 322,369.51

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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.