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Finding the Third Proportional to 134,540 and 285,480

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Solution

The third proportional to 134,540 and 285,480 is: 605,759.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,540 : 285,480 = 285,480 : x
  2. Step 2: Convert to fraction form
    134,540/285,480 = 285,480/x
  3. Step 3: Cross multiply
    134,540x = 285,480 × 285,480
  4. Step 4: Simplify right side
    134,540x = 81,498,830,400
  5. Step 5: Solve for x
    x = 81,498,830,400/134,540
  6. Step 6: Final answer
    x = 605,759.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.