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Finding the Third Proportional to 78,363 and 169,194

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Solution

The third proportional to 78,363 and 169,194 is: 365,307.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,363 : 169,194 = 169,194 : x
  2. Step 2: Convert to fraction form
    78,363/169,194 = 169,194/x
  3. Step 3: Cross multiply
    78,363x = 169,194 × 169,194
  4. Step 4: Simplify right side
    78,363x = 28,626,609,636
  5. Step 5: Solve for x
    x = 28,626,609,636/78,363
  6. Step 6: Final answer
    x = 365,307.73

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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.