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Finding the Third Proportional to 137,920 and 286,080

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Solution

The third proportional to 137,920 and 286,080 is: 593,400.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,920 : 286,080 = 286,080 : x
  2. Step 2: Convert to fraction form
    137,920/286,080 = 286,080/x
  3. Step 3: Cross multiply
    137,920x = 286,080 × 286,080
  4. Step 4: Simplify right side
    137,920x = 81,841,766,400
  5. Step 5: Solve for x
    x = 81,841,766,400/137,920
  6. Step 6: Final answer
    x = 593,400.28

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.