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Finding the Third Proportional to 76,020 and 117,720.75

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Solution

The third proportional to 76,020 and 117,720.75 is: 182,296.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,020 : 117,720.75 = 117,720.75 : x
  2. Step 2: Convert to fraction form
    76,020/117,720.75 = 117,720.75/x
  3. Step 3: Cross multiply
    76,020x = 117,720.75 × 117,720.75
  4. Step 4: Simplify right side
    76,020x = 13,858,174,980.56
  5. Step 5: Solve for x
    x = 13,858,174,980.56/76,020
  6. Step 6: Final answer
    x = 182,296.43

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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.