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Finding the Third Proportional to 74,428 and 161,980

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Solution

The third proportional to 74,428 and 161,980 is: 352,522.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,428 : 161,980 = 161,980 : x
  2. Step 2: Convert to fraction form
    74,428/161,980 = 161,980/x
  3. Step 3: Cross multiply
    74,428x = 161,980 × 161,980
  4. Step 4: Simplify right side
    74,428x = 26,237,520,400
  5. Step 5: Solve for x
    x = 26,237,520,400/74,428
  6. Step 6: Final answer
    x = 352,522.17

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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.