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Finding the Third Proportional to 34,629 and 74,431

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Solution

The third proportional to 34,629 and 74,431 is: 159,980.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,629 : 74,431 = 74,431 : x
  2. Step 2: Convert to fraction form
    34,629/74,431 = 74,431/x
  3. Step 3: Cross multiply
    34,629x = 74,431 × 74,431
  4. Step 4: Simplify right side
    34,629x = 5,539,973,761
  5. Step 5: Solve for x
    x = 5,539,973,761/34,629
  6. Step 6: Final answer
    x = 159,980.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.