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Finding the Third Proportional to 192,141 and 288,830.25

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Solution

The third proportional to 192,141 and 288,830.25 is: 434,175.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,141 : 288,830.25 = 288,830.25 : x
  2. Step 2: Convert to fraction form
    192,141/288,830.25 = 288,830.25/x
  3. Step 3: Cross multiply
    192,141x = 288,830.25 × 288,830.25
  4. Step 4: Simplify right side
    192,141x = 83,422,913,315.06
  5. Step 5: Solve for x
    x = 83,422,913,315.06/192,141
  6. Step 6: Final answer
    x = 434,175.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.