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Finding the Third Proportional to 78,389 and 169,168

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Solution

The third proportional to 78,389 and 169,168 is: 365,074.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,389 : 169,168 = 169,168 : x
  2. Step 2: Convert to fraction form
    78,389/169,168 = 169,168/x
  3. Step 3: Cross multiply
    78,389x = 169,168 × 169,168
  4. Step 4: Simplify right side
    78,389x = 28,617,812,224
  5. Step 5: Solve for x
    x = 28,617,812,224/78,389
  6. Step 6: Final answer
    x = 365,074.34

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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.