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Finding the Third Proportional to 74,729 and 161,669

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Solution

The third proportional to 74,729 and 161,669 is: 349,755.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,729 : 161,669 = 161,669 : x
  2. Step 2: Convert to fraction form
    74,729/161,669 = 161,669/x
  3. Step 3: Cross multiply
    74,729x = 161,669 × 161,669
  4. Step 4: Simplify right side
    74,729x = 26,136,865,561
  5. Step 5: Solve for x
    x = 26,136,865,561/74,729
  6. Step 6: Final answer
    x = 349,755.32

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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.