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Finding the Third Proportional to 136,388.81 and 298,171.13

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Solution

The third proportional to 136,388.81 and 298,171.13 is: 651,857.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,388.81 : 298,171.13 = 298,171.13 : x
  2. Step 2: Convert to fraction form
    136,388.81/298,171.13 = 298,171.13/x
  3. Step 3: Cross multiply
    136,388.81x = 298,171.13 × 298,171.13
  4. Step 4: Simplify right side
    136,388.81x = 88,906,019,783.77
  5. Step 5: Solve for x
    x = 88,906,019,783.77/136,388.81
  6. Step 6: Final answer
    x = 651,857.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.