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Finding the Third Proportional to 138,784.22 and 299,175.19

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Solution

The third proportional to 138,784.22 and 299,175.19 is: 644,927.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,784.22 : 299,175.19 = 299,175.19 : x
  2. Step 2: Convert to fraction form
    138,784.22/299,175.19 = 299,175.19/x
  3. Step 3: Cross multiply
    138,784.22x = 299,175.19 × 299,175.19
  4. Step 4: Simplify right side
    138,784.22x = 89,505,792,815.66
  5. Step 5: Solve for x
    x = 89,505,792,815.66/138,784.22
  6. Step 6: Final answer
    x = 644,927.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.