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Finding the Third Proportional to 192,272 and 286,816

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Solution

The third proportional to 192,272 and 286,816 is: 427,849.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,272 : 286,816 = 286,816 : x
  2. Step 2: Convert to fraction form
    192,272/286,816 = 286,816/x
  3. Step 3: Cross multiply
    192,272x = 286,816 × 286,816
  4. Step 4: Simplify right side
    192,272x = 82,263,417,856
  5. Step 5: Solve for x
    x = 82,263,417,856/192,272
  6. Step 6: Final answer
    x = 427,849.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.