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Finding the Third Proportional to 67,009 and 144,770

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Solution

The third proportional to 67,009 and 144,770 is: 312,769.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,009 : 144,770 = 144,770 : x
  2. Step 2: Convert to fraction form
    67,009/144,770 = 144,770/x
  3. Step 3: Cross multiply
    67,009x = 144,770 × 144,770
  4. Step 4: Simplify right side
    67,009x = 20,958,352,900
  5. Step 5: Solve for x
    x = 20,958,352,900/67,009
  6. Step 6: Final answer
    x = 312,769.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.