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Finding the Third Proportional to 69,072.75 and 144,402.75

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Solution

The third proportional to 69,072.75 and 144,402.75 is: 301,886.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,072.75 : 144,402.75 = 144,402.75 : x
  2. Step 2: Convert to fraction form
    69,072.75/144,402.75 = 144,402.75/x
  3. Step 3: Cross multiply
    69,072.75x = 144,402.75 × 144,402.75
  4. Step 4: Simplify right side
    69,072.75x = 20,852,154,207.56
  5. Step 5: Solve for x
    x = 20,852,154,207.56/69,072.75
  6. Step 6: Final answer
    x = 301,886.84

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.