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Finding the Third Proportional to 78,354 and 169,176

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Solution

The third proportional to 78,354 and 169,176 is: 365,271.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,354 : 169,176 = 169,176 : x
  2. Step 2: Convert to fraction form
    78,354/169,176 = 169,176/x
  3. Step 3: Cross multiply
    78,354x = 169,176 × 169,176
  4. Step 4: Simplify right side
    78,354x = 28,620,518,976
  5. Step 5: Solve for x
    x = 28,620,518,976/78,354
  6. Step 6: Final answer
    x = 365,271.96

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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.