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Finding the Third Proportional to 136,316 and 209,240

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Solution

The third proportional to 136,316 and 209,240 is: 321,175.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,316 : 209,240 = 209,240 : x
  2. Step 2: Convert to fraction form
    136,316/209,240 = 209,240/x
  3. Step 3: Cross multiply
    136,316x = 209,240 × 209,240
  4. Step 4: Simplify right side
    136,316x = 43,781,377,600
  5. Step 5: Solve for x
    x = 43,781,377,600/136,316
  6. Step 6: Final answer
    x = 321,175.63

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.