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Finding the Third Proportional to 120,026.81 and 258,662.11

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Solution

The third proportional to 120,026.81 and 258,662.11 is: 557,426.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,026.81 : 258,662.11 = 258,662.11 : x
  2. Step 2: Convert to fraction form
    120,026.81/258,662.11 = 258,662.11/x
  3. Step 3: Cross multiply
    120,026.81x = 258,662.11 × 258,662.11
  4. Step 4: Simplify right side
    120,026.81x = 66,906,086,826.32
  5. Step 5: Solve for x
    x = 66,906,086,826.32/120,026.81
  6. Step 6: Final answer
    x = 557,426.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.