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Finding the Third Proportional to 55,420 and 118,716

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Solution

The third proportional to 55,420 and 118,716 is: 254,303.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,420 : 118,716 = 118,716 : x
  2. Step 2: Convert to fraction form
    55,420/118,716 = 118,716/x
  3. Step 3: Cross multiply
    55,420x = 118,716 × 118,716
  4. Step 4: Simplify right side
    55,420x = 14,093,488,656
  5. Step 5: Solve for x
    x = 14,093,488,656/55,420
  6. Step 6: Final answer
    x = 254,303.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.