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Finding the Third Proportional to 74,388 and 161,900

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Solution

The third proportional to 74,388 and 161,900 is: 352,363.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,388 : 161,900 = 161,900 : x
  2. Step 2: Convert to fraction form
    74,388/161,900 = 161,900/x
  3. Step 3: Cross multiply
    74,388x = 161,900 × 161,900
  4. Step 4: Simplify right side
    74,388x = 26,211,610,000
  5. Step 5: Solve for x
    x = 26,211,610,000/74,388
  6. Step 6: Final answer
    x = 352,363.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.