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Finding the Third Proportional to 136,191 and 299,253

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Solution

The third proportional to 136,191 and 299,253 is: 657,549.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,191 : 299,253 = 299,253 : x
  2. Step 2: Convert to fraction form
    136,191/299,253 = 299,253/x
  3. Step 3: Cross multiply
    136,191x = 299,253 × 299,253
  4. Step 4: Simplify right side
    136,191x = 89,552,358,009
  5. Step 5: Solve for x
    x = 89,552,358,009/136,191
  6. Step 6: Final answer
    x = 657,549.75

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.