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Finding the Third Proportional to 78,021 and 117,582.75

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Solution

The third proportional to 78,021 and 117,582.75 is: 177,204.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,021 : 117,582.75 = 117,582.75 : x
  2. Step 2: Convert to fraction form
    78,021/117,582.75 = 117,582.75/x
  3. Step 3: Cross multiply
    78,021x = 117,582.75 × 117,582.75
  4. Step 4: Simplify right side
    78,021x = 13,825,703,097.56
  5. Step 5: Solve for x
    x = 13,825,703,097.56/78,021
  6. Step 6: Final answer
    x = 177,204.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.