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Finding the Third Proportional to 34,645 and 74,695

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Solution

The third proportional to 34,645 and 74,695 is: 161,043.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,645 : 74,695 = 74,695 : x
  2. Step 2: Convert to fraction form
    34,645/74,695 = 74,695/x
  3. Step 3: Cross multiply
    34,645x = 74,695 × 74,695
  4. Step 4: Simplify right side
    34,645x = 5,579,343,025
  5. Step 5: Solve for x
    x = 5,579,343,025/34,645
  6. Step 6: Final answer
    x = 161,043.24

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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.