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Finding the Third Proportional to 78,418.13 and 169,408.13

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Solution

The third proportional to 78,418.13 and 169,408.13 is: 365,975.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,418.13 : 169,408.13 = 169,408.13 : x
  2. Step 2: Convert to fraction form
    78,418.13/169,408.13 = 169,408.13/x
  3. Step 3: Cross multiply
    78,418.13x = 169,408.13 × 169,408.13
  4. Step 4: Simplify right side
    78,418.13x = 28,699,112,816.02
  5. Step 5: Solve for x
    x = 28,699,112,816.02/78,418.13
  6. Step 6: Final answer
    x = 365,975.50

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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.