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Finding the Third Proportional to 120,107 and 278,018

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Solution

The third proportional to 120,107 and 278,018 is: 643,542.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,107 : 278,018 = 278,018 : x
  2. Step 2: Convert to fraction form
    120,107/278,018 = 278,018/x
  3. Step 3: Cross multiply
    120,107x = 278,018 × 278,018
  4. Step 4: Simplify right side
    120,107x = 77,294,008,324
  5. Step 5: Solve for x
    x = 77,294,008,324/120,107
  6. Step 6: Final answer
    x = 643,542.91

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.