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Finding the Third Proportional to 89,903 and 129,502.50

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Solution

The third proportional to 89,903 and 129,502.50 is: 186,544.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,903 : 129,502.50 = 129,502.50 : x
  2. Step 2: Convert to fraction form
    89,903/129,502.50 = 129,502.50/x
  3. Step 3: Cross multiply
    89,903x = 129,502.50 × 129,502.50
  4. Step 4: Simplify right side
    89,903x = 16,770,897,506.25
  5. Step 5: Solve for x
    x = 16,770,897,506.25/89,903
  6. Step 6: Final answer
    x = 186,544.36

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.