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Finding the Third Proportional to 78,930 and 169,092

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Solution

The third proportional to 78,930 and 169,092 is: 362,246.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,930 : 169,092 = 169,092 : x
  2. Step 2: Convert to fraction form
    78,930/169,092 = 169,092/x
  3. Step 3: Cross multiply
    78,930x = 169,092 × 169,092
  4. Step 4: Simplify right side
    78,930x = 28,592,104,464
  5. Step 5: Solve for x
    x = 28,592,104,464/78,930
  6. Step 6: Final answer
    x = 362,246.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.