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Finding the Third Proportional to 89,869.50 and 129,458.25

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Solution

The third proportional to 89,869.50 and 129,458.25 is: 186,486.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,869.50 : 129,458.25 = 129,458.25 : x
  2. Step 2: Convert to fraction form
    89,869.50/129,458.25 = 129,458.25/x
  3. Step 3: Cross multiply
    89,869.50x = 129,458.25 × 129,458.25
  4. Step 4: Simplify right side
    89,869.50x = 16,759,438,493.06
  5. Step 5: Solve for x
    x = 16,759,438,493.06/89,869.50
  6. Step 6: Final answer
    x = 186,486.39

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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.