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Finding the Third Proportional to 54,677 and 118,840

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Solution

The third proportional to 54,677 and 118,840 is: 258,297.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,677 : 118,840 = 118,840 : x
  2. Step 2: Convert to fraction form
    54,677/118,840 = 118,840/x
  3. Step 3: Cross multiply
    54,677x = 118,840 × 118,840
  4. Step 4: Simplify right side
    54,677x = 14,122,945,600
  5. Step 5: Solve for x
    x = 14,122,945,600/54,677
  6. Step 6: Final answer
    x = 258,297.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.