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Finding the Third Proportional to 86,080 and 192,320

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Solution

The third proportional to 86,080 and 192,320 is: 429,681.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,080 : 192,320 = 192,320 : x
  2. Step 2: Convert to fraction form
    86,080/192,320 = 192,320/x
  3. Step 3: Cross multiply
    86,080x = 192,320 × 192,320
  4. Step 4: Simplify right side
    86,080x = 36,986,982,400
  5. Step 5: Solve for x
    x = 36,986,982,400/86,080
  6. Step 6: Final answer
    x = 429,681.49

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.