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Finding the Third Proportional to 74,769 and 163,469

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Solution

The third proportional to 74,769 and 163,469 is: 357,395.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,769 : 163,469 = 163,469 : x
  2. Step 2: Convert to fraction form
    74,769/163,469 = 163,469/x
  3. Step 3: Cross multiply
    74,769x = 163,469 × 163,469
  4. Step 4: Simplify right side
    74,769x = 26,722,113,961
  5. Step 5: Solve for x
    x = 26,722,113,961/74,769
  6. Step 6: Final answer
    x = 357,395.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.