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Finding the Third Proportional to 34,640 and 74,816

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Solution

The third proportional to 34,640 and 74,816 is: 161,588.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,640 : 74,816 = 74,816 : x
  2. Step 2: Convert to fraction form
    34,640/74,816 = 74,816/x
  3. Step 3: Cross multiply
    34,640x = 74,816 × 74,816
  4. Step 4: Simplify right side
    34,640x = 5,597,433,856
  5. Step 5: Solve for x
    x = 5,597,433,856/34,640
  6. Step 6: Final answer
    x = 161,588.74

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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.