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Finding the Third Proportional to 78,355 and 169,180

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Solution

The third proportional to 78,355 and 169,180 is: 365,284.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,355 : 169,180 = 169,180 : x
  2. Step 2: Convert to fraction form
    78,355/169,180 = 169,180/x
  3. Step 3: Cross multiply
    78,355x = 169,180 × 169,180
  4. Step 4: Simplify right side
    78,355x = 28,621,872,400
  5. Step 5: Solve for x
    x = 28,621,872,400/78,355
  6. Step 6: Final answer
    x = 365,284.57

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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.