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Finding the Third Proportional to 89,194.50 and 130,592.25

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Solution

The third proportional to 89,194.50 and 130,592.25 is: 191,203.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,194.50 : 130,592.25 = 130,592.25 : x
  2. Step 2: Convert to fraction form
    89,194.50/130,592.25 = 130,592.25/x
  3. Step 3: Cross multiply
    89,194.50x = 130,592.25 × 130,592.25
  4. Step 4: Simplify right side
    89,194.50x = 17,054,335,760.06
  5. Step 5: Solve for x
    x = 17,054,335,760.06/89,194.50
  6. Step 6: Final answer
    x = 191,203.89

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.