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Finding the Third Proportional to 136,482 and 209,046

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Solution

The third proportional to 136,482 and 209,046 is: 320,190.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,482 : 209,046 = 209,046 : x
  2. Step 2: Convert to fraction form
    136,482/209,046 = 209,046/x
  3. Step 3: Cross multiply
    136,482x = 209,046 × 209,046
  4. Step 4: Simplify right side
    136,482x = 43,700,230,116
  5. Step 5: Solve for x
    x = 43,700,230,116/136,482
  6. Step 6: Final answer
    x = 320,190.43

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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.