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Finding the Third Proportional to 192,424 and 286,584

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Solution

The third proportional to 192,424 and 286,584 is: 426,819.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,424 : 286,584 = 286,584 : x
  2. Step 2: Convert to fraction form
    192,424/286,584 = 286,584/x
  3. Step 3: Cross multiply
    192,424x = 286,584 × 286,584
  4. Step 4: Simplify right side
    192,424x = 82,130,389,056
  5. Step 5: Solve for x
    x = 82,130,389,056/192,424
  6. Step 6: Final answer
    x = 426,819.88

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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.