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Finding the Third Proportional to 88,501.50 and 192,555

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Solution

The third proportional to 88,501.50 and 192,555 is: 418,946.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,501.50 : 192,555 = 192,555 : x
  2. Step 2: Convert to fraction form
    88,501.50/192,555 = 192,555/x
  3. Step 3: Cross multiply
    88,501.50x = 192,555 × 192,555
  4. Step 4: Simplify right side
    88,501.50x = 37,077,428,025
  5. Step 5: Solve for x
    x = 37,077,428,025/88,501.50
  6. Step 6: Final answer
    x = 418,946.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.