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Finding the Third Proportional to 64,690 and 140,770

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Solution

The third proportional to 64,690 and 140,770 is: 306,325.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,690 : 140,770 = 140,770 : x
  2. Step 2: Convert to fraction form
    64,690/140,770 = 140,770/x
  3. Step 3: Cross multiply
    64,690x = 140,770 × 140,770
  4. Step 4: Simplify right side
    64,690x = 19,816,192,900
  5. Step 5: Solve for x
    x = 19,816,192,900/64,690
  6. Step 6: Final answer
    x = 306,325.44

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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.