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Finding the Third Proportional to 74,982 and 161,628

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Solution

The third proportional to 74,982 and 161,628 is: 348,398.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,982 : 161,628 = 161,628 : x
  2. Step 2: Convert to fraction form
    74,982/161,628 = 161,628/x
  3. Step 3: Cross multiply
    74,982x = 161,628 × 161,628
  4. Step 4: Simplify right side
    74,982x = 26,123,610,384
  5. Step 5: Solve for x
    x = 26,123,610,384/74,982
  6. Step 6: Final answer
    x = 348,398.42

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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.