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Finding the Third Proportional to 55,982 and 120,985

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Solution

The third proportional to 55,982 and 120,985 is: 261,465.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,982 : 120,985 = 120,985 : x
  2. Step 2: Convert to fraction form
    55,982/120,985 = 120,985/x
  3. Step 3: Cross multiply
    55,982x = 120,985 × 120,985
  4. Step 4: Simplify right side
    55,982x = 14,637,370,225
  5. Step 5: Solve for x
    x = 14,637,370,225/55,982
  6. Step 6: Final answer
    x = 261,465.65

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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.