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Finding the Third Proportional to 70,072 and 153,770

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Solution

The third proportional to 70,072 and 153,770 is: 337,441.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,072 : 153,770 = 153,770 : x
  2. Step 2: Convert to fraction form
    70,072/153,770 = 153,770/x
  3. Step 3: Cross multiply
    70,072x = 153,770 × 153,770
  4. Step 4: Simplify right side
    70,072x = 23,645,212,900
  5. Step 5: Solve for x
    x = 23,645,212,900/70,072
  6. Step 6: Final answer
    x = 337,441.67

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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.