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Finding the Third Proportional to 88,628 and 192,808

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Solution

The third proportional to 88,628 and 192,808 is: 419,448.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,628 : 192,808 = 192,808 : x
  2. Step 2: Convert to fraction form
    88,628/192,808 = 192,808/x
  3. Step 3: Cross multiply
    88,628x = 192,808 × 192,808
  4. Step 4: Simplify right side
    88,628x = 37,174,924,864
  5. Step 5: Solve for x
    x = 37,174,924,864/88,628
  6. Step 6: Final answer
    x = 419,448.99

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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.