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Finding the Third Proportional to 89,106.75 and 129,647.25

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Solution

The third proportional to 89,106.75 and 129,647.25 is: 188,632.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,106.75 : 129,647.25 = 129,647.25 : x
  2. Step 2: Convert to fraction form
    89,106.75/129,647.25 = 129,647.25/x
  3. Step 3: Cross multiply
    89,106.75x = 129,647.25 × 129,647.25
  4. Step 4: Simplify right side
    89,106.75x = 16,808,409,432.56
  5. Step 5: Solve for x
    x = 16,808,409,432.56/89,106.75
  6. Step 6: Final answer
    x = 188,632.28

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.