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Finding the Third Proportional to 74,072 and 108,516

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Solution

The third proportional to 74,072 and 108,516 is: 158,976.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,072 : 108,516 = 108,516 : x
  2. Step 2: Convert to fraction form
    74,072/108,516 = 108,516/x
  3. Step 3: Cross multiply
    74,072x = 108,516 × 108,516
  4. Step 4: Simplify right side
    74,072x = 11,775,722,256
  5. Step 5: Solve for x
    x = 11,775,722,256/74,072
  6. Step 6: Final answer
    x = 158,976.70

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.