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Finding the Third Proportional to 163,440 and 256,824

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Solution

The third proportional to 163,440 and 256,824 is: 403,564.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,440 : 256,824 = 256,824 : x
  2. Step 2: Convert to fraction form
    163,440/256,824 = 256,824/x
  3. Step 3: Cross multiply
    163,440x = 256,824 × 256,824
  4. Step 4: Simplify right side
    163,440x = 65,958,566,976
  5. Step 5: Solve for x
    x = 65,958,566,976/163,440
  6. Step 6: Final answer
    x = 403,564.41

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.