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Finding the Third Proportional to 88,711.50 and 192,345

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Solution

The third proportional to 88,711.50 and 192,345 is: 417,044.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,711.50 : 192,345 = 192,345 : x
  2. Step 2: Convert to fraction form
    88,711.50/192,345 = 192,345/x
  3. Step 3: Cross multiply
    88,711.50x = 192,345 × 192,345
  4. Step 4: Simplify right side
    88,711.50x = 36,996,599,025
  5. Step 5: Solve for x
    x = 36,996,599,025/88,711.50
  6. Step 6: Final answer
    x = 417,044.00

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.