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Finding the Third Proportional to 138,078 and 289,980

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Solution

The third proportional to 138,078 and 289,980 is: 608,992.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,078 : 289,980 = 289,980 : x
  2. Step 2: Convert to fraction form
    138,078/289,980 = 289,980/x
  3. Step 3: Cross multiply
    138,078x = 289,980 × 289,980
  4. Step 4: Simplify right side
    138,078x = 84,088,400,400
  5. Step 5: Solve for x
    x = 84,088,400,400/138,078
  6. Step 6: Final answer
    x = 608,992.02

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.