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Finding the Third Proportional to 77,491.69 and 161,994.94

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Solution

The third proportional to 77,491.69 and 161,994.94 is: 338,647.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,491.69 : 161,994.94 = 161,994.94 : x
  2. Step 2: Convert to fraction form
    77,491.69/161,994.94 = 161,994.94/x
  3. Step 3: Cross multiply
    77,491.69x = 161,994.94 × 161,994.94
  4. Step 4: Simplify right side
    77,491.69x = 26,242,359,775.63
  5. Step 5: Solve for x
    x = 26,242,359,775.63/77,491.69
  6. Step 6: Final answer
    x = 338,647.42

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.