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Finding the Third Proportional to 78,830 and 169,324

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Solution

The third proportional to 78,830 and 169,324 is: 363,701.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,830 : 169,324 = 169,324 : x
  2. Step 2: Convert to fraction form
    78,830/169,324 = 169,324/x
  3. Step 3: Cross multiply
    78,830x = 169,324 × 169,324
  4. Step 4: Simplify right side
    78,830x = 28,670,616,976
  5. Step 5: Solve for x
    x = 28,670,616,976/78,830
  6. Step 6: Final answer
    x = 363,701.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.