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Finding the Third Proportional to 56,278 and 120,089

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Solution

The third proportional to 56,278 and 120,089 is: 256,252.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,278 : 120,089 = 120,089 : x
  2. Step 2: Convert to fraction form
    56,278/120,089 = 120,089/x
  3. Step 3: Cross multiply
    56,278x = 120,089 × 120,089
  4. Step 4: Simplify right side
    56,278x = 14,421,367,921
  5. Step 5: Solve for x
    x = 14,421,367,921/56,278
  6. Step 6: Final answer
    x = 256,252.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.