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Finding the Third Proportional to 192,988 and 293,338

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Solution

The third proportional to 192,988 and 293,338 is: 445,868.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,988 : 293,338 = 293,338 : x
  2. Step 2: Convert to fraction form
    192,988/293,338 = 293,338/x
  3. Step 3: Cross multiply
    192,988x = 293,338 × 293,338
  4. Step 4: Simplify right side
    192,988x = 86,047,182,244
  5. Step 5: Solve for x
    x = 86,047,182,244/192,988
  6. Step 6: Final answer
    x = 445,868.04

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.