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Finding the Third Proportional to 74,640 and 161,328

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Solution

The third proportional to 74,640 and 161,328 is: 348,696.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,640 : 161,328 = 161,328 : x
  2. Step 2: Convert to fraction form
    74,640/161,328 = 161,328/x
  3. Step 3: Cross multiply
    74,640x = 161,328 × 161,328
  4. Step 4: Simplify right side
    74,640x = 26,026,723,584
  5. Step 5: Solve for x
    x = 26,026,723,584/74,640
  6. Step 6: Final answer
    x = 348,696.73

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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.