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Finding the Third Proportional to 76,304.25 and 118,290.38

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Solution

The third proportional to 76,304.25 and 118,290.38 is: 183,379.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,304.25 : 118,290.38 = 118,290.38 : x
  2. Step 2: Convert to fraction form
    76,304.25/118,290.38 = 118,290.38/x
  3. Step 3: Cross multiply
    76,304.25x = 118,290.38 × 118,290.38
  4. Step 4: Simplify right side
    76,304.25x = 13,992,612,817.64
  5. Step 5: Solve for x
    x = 13,992,612,817.64/76,304.25
  6. Step 6: Final answer
    x = 183,379.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.