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Finding the Third Proportional to 66,015 and 144,072

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Solution

The third proportional to 66,015 and 144,072 is: 314,424.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,015 : 144,072 = 144,072 : x
  2. Step 2: Convert to fraction form
    66,015/144,072 = 144,072/x
  3. Step 3: Cross multiply
    66,015x = 144,072 × 144,072
  4. Step 4: Simplify right side
    66,015x = 20,756,741,184
  5. Step 5: Solve for x
    x = 20,756,741,184/66,015
  6. Step 6: Final answer
    x = 314,424.62

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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.