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Finding the Third Proportional to 64,703 and 137,181

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Solution

The third proportional to 64,703 and 137,181 is: 290,846.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,703 : 137,181 = 137,181 : x
  2. Step 2: Convert to fraction form
    64,703/137,181 = 137,181/x
  3. Step 3: Cross multiply
    64,703x = 137,181 × 137,181
  4. Step 4: Simplify right side
    64,703x = 18,818,626,761
  5. Step 5: Solve for x
    x = 18,818,626,761/64,703
  6. Step 6: Final answer
    x = 290,846.28

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.