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Finding the Third Proportional to 78,814.69 and 119,039.63

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Solution

The third proportional to 78,814.69 and 119,039.63 is: 179,794.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,814.69 : 119,039.63 = 119,039.63 : x
  2. Step 2: Convert to fraction form
    78,814.69/119,039.63 = 119,039.63/x
  3. Step 3: Cross multiply
    78,814.69x = 119,039.63 × 119,039.63
  4. Step 4: Simplify right side
    78,814.69x = 14,170,432,320.14
  5. Step 5: Solve for x
    x = 14,170,432,320.14/78,814.69
  6. Step 6: Final answer
    x = 179,794.31

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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.