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Finding the Third Proportional to 55,390 and 118,654

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Solution

The third proportional to 55,390 and 118,654 is: 254,175.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,390 : 118,654 = 118,654 : x
  2. Step 2: Convert to fraction form
    55,390/118,654 = 118,654/x
  3. Step 3: Cross multiply
    55,390x = 118,654 × 118,654
  4. Step 4: Simplify right side
    55,390x = 14,078,771,716
  5. Step 5: Solve for x
    x = 14,078,771,716/55,390
  6. Step 6: Final answer
    x = 254,175.33

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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.