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Finding the Third Proportional to 192,432 and 286,596

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Solution

The third proportional to 192,432 and 286,596 is: 426,837.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,432 : 286,596 = 286,596 : x
  2. Step 2: Convert to fraction form
    192,432/286,596 = 286,596/x
  3. Step 3: Cross multiply
    192,432x = 286,596 × 286,596
  4. Step 4: Simplify right side
    192,432x = 82,137,267,216
  5. Step 5: Solve for x
    x = 82,137,267,216/192,432
  6. Step 6: Final answer
    x = 426,837.88

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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.