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Finding the Third Proportional to 120,111 and 278,028

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Solution

The third proportional to 120,111 and 278,028 is: 643,567.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,111 : 278,028 = 278,028 : x
  2. Step 2: Convert to fraction form
    120,111/278,028 = 278,028/x
  3. Step 3: Cross multiply
    120,111x = 278,028 × 278,028
  4. Step 4: Simplify right side
    120,111x = 77,299,568,784
  5. Step 5: Solve for x
    x = 77,299,568,784/120,111
  6. Step 6: Final answer
    x = 643,567.77

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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.