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Finding the Third Proportional to 74,998.69 and 158,428.13

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Solution

The third proportional to 74,998.69 and 158,428.13 is: 334,665.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,998.69 : 158,428.13 = 158,428.13 : x
  2. Step 2: Convert to fraction form
    74,998.69/158,428.13 = 158,428.13/x
  3. Step 3: Cross multiply
    74,998.69x = 158,428.13 × 158,428.13
  4. Step 4: Simplify right side
    74,998.69x = 25,099,470,791.02
  5. Step 5: Solve for x
    x = 25,099,470,791.02/74,998.69
  6. Step 6: Final answer
    x = 334,665.47

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.