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Finding the Third Proportional to 77,938.69 and 168,039.09

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Solution

The third proportional to 77,938.69 and 168,039.09 is: 362,299.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,938.69 : 168,039.09 = 168,039.09 : x
  2. Step 2: Convert to fraction form
    77,938.69/168,039.09 = 168,039.09/x
  3. Step 3: Cross multiply
    77,938.69x = 168,039.09 × 168,039.09
  4. Step 4: Simplify right side
    77,938.69x = 28,237,137,028.32
  5. Step 5: Solve for x
    x = 28,237,137,028.32/77,938.69
  6. Step 6: Final answer
    x = 362,299.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.