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Finding the Third Proportional to 77,372 and 169,324

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Solution

The third proportional to 77,372 and 169,324 is: 370,555.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,372 : 169,324 = 169,324 : x
  2. Step 2: Convert to fraction form
    77,372/169,324 = 169,324/x
  3. Step 3: Cross multiply
    77,372x = 169,324 × 169,324
  4. Step 4: Simplify right side
    77,372x = 28,670,616,976
  5. Step 5: Solve for x
    x = 28,670,616,976/77,372
  6. Step 6: Final answer
    x = 370,555.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.