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Finding the Third Proportional to 189,398.25 and 315,626.63

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Solution

The third proportional to 189,398.25 and 315,626.63 is: 525,982.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,398.25 : 315,626.63 = 315,626.63 : x
  2. Step 2: Convert to fraction form
    189,398.25/315,626.63 = 315,626.63/x
  3. Step 3: Cross multiply
    189,398.25x = 315,626.63 × 315,626.63
  4. Step 4: Simplify right side
    189,398.25x = 99,620,166,408.89
  5. Step 5: Solve for x
    x = 99,620,166,408.89/189,398.25
  6. Step 6: Final answer
    x = 525,982.51

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.