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Finding the Third Proportional to 89,988.75 and 128,601

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Solution

The third proportional to 89,988.75 and 128,601 is: 183,780.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,988.75 : 128,601 = 128,601 : x
  2. Step 2: Convert to fraction form
    89,988.75/128,601 = 128,601/x
  3. Step 3: Cross multiply
    89,988.75x = 128,601 × 128,601
  4. Step 4: Simplify right side
    89,988.75x = 16,538,217,201
  5. Step 5: Solve for x
    x = 16,538,217,201/89,988.75
  6. Step 6: Final answer
    x = 183,780.94

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.