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Finding the Third Proportional to 78,400.50 and 169,377

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Solution

The third proportional to 78,400.50 and 169,377 is: 365,923.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,400.50 : 169,377 = 169,377 : x
  2. Step 2: Convert to fraction form
    78,400.50/169,377 = 169,377/x
  3. Step 3: Cross multiply
    78,400.50x = 169,377 × 169,377
  4. Step 4: Simplify right side
    78,400.50x = 28,688,568,129
  5. Step 5: Solve for x
    x = 28,688,568,129/78,400.50
  6. Step 6: Final answer
    x = 365,923.28

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.