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Finding the Third Proportional to 98,056 and 138,080

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Solution

The third proportional to 98,056 and 138,080 is: 194,440.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,056 : 138,080 = 138,080 : x
  2. Step 2: Convert to fraction form
    98,056/138,080 = 138,080/x
  3. Step 3: Cross multiply
    98,056x = 138,080 × 138,080
  4. Step 4: Simplify right side
    98,056x = 19,066,086,400
  5. Step 5: Solve for x
    x = 19,066,086,400/98,056
  6. Step 6: Final answer
    x = 194,440.79

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.