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Finding the Third Proportional to 64,855 and 138,080

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Solution

The third proportional to 64,855 and 138,080 is: 293,980.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,855 : 138,080 = 138,080 : x
  2. Step 2: Convert to fraction form
    64,855/138,080 = 138,080/x
  3. Step 3: Cross multiply
    64,855x = 138,080 × 138,080
  4. Step 4: Simplify right side
    64,855x = 19,066,086,400
  5. Step 5: Solve for x
    x = 19,066,086,400/64,855
  6. Step 6: Final answer
    x = 293,980.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.