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Finding the Third Proportional to 78,280 and 169,232

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Solution

The third proportional to 78,280 and 169,232 is: 365,859.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,280 : 169,232 = 169,232 : x
  2. Step 2: Convert to fraction form
    78,280/169,232 = 169,232/x
  3. Step 3: Cross multiply
    78,280x = 169,232 × 169,232
  4. Step 4: Simplify right side
    78,280x = 28,639,469,824
  5. Step 5: Solve for x
    x = 28,639,469,824/78,280
  6. Step 6: Final answer
    x = 365,859.35

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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.